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Finding the Third Proportional to 895,832,828.44 and 1,390,914,642.38

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Solution

The third proportional to 895,832,828.44 and 1,390,914,642.38 is: 2,159,603,310.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    895,832,828.44 : 1,390,914,642.38 = 1,390,914,642.38 : x
  2. Step 2: Convert to fraction form
    895,832,828.44/1,390,914,642.38 = 1,390,914,642.38/x
  3. Step 3: Cross multiply
    895,832,828.44x = 1,390,914,642.38 × 1,390,914,642.38
  4. Step 4: Simplify right side
    895,832,828.44x = 1,934,643,542,373,174,272
  5. Step 5: Solve for x
    x = 1,934,643,542,373,174,272/895,832,828.44
  6. Step 6: Final answer
    x = 2,159,603,310.97

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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.