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Finding the Third Proportional to 655,848 and 1,433,200

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Solution

The third proportional to 655,848 and 1,433,200 is: 3,131,918.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    655,848 : 1,433,200 = 1,433,200 : x
  2. Step 2: Convert to fraction form
    655,848/1,433,200 = 1,433,200/x
  3. Step 3: Cross multiply
    655,848x = 1,433,200 × 1,433,200
  4. Step 4: Simplify right side
    655,848x = 2,054,062,240,000
  5. Step 5: Solve for x
    x = 2,054,062,240,000/655,848
  6. Step 6: Final answer
    x = 3,131,918.13

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.