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Finding the Third Proportional to 895,832,850.50 and 1,390,914,676.75

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Solution

The third proportional to 895,832,850.50 and 1,390,914,676.75 is: 2,159,603,364.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    895,832,850.50 : 1,390,914,676.75 = 1,390,914,676.75 : x
  2. Step 2: Convert to fraction form
    895,832,850.50/1,390,914,676.75 = 1,390,914,676.75/x
  3. Step 3: Cross multiply
    895,832,850.50x = 1,390,914,676.75 × 1,390,914,676.75
  4. Step 4: Simplify right side
    895,832,850.50x = 1,934,643,637,998,556,928
  5. Step 5: Solve for x
    x = 1,934,643,637,998,556,928/895,832,850.50
  6. Step 6: Final answer
    x = 2,159,603,364.53

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.