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Finding the Third Proportional to 702,345 and 1,541,397

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Solution

The third proportional to 702,345 and 1,541,397 is: 3,382,817.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    702,345 : 1,541,397 = 1,541,397 : x
  2. Step 2: Convert to fraction form
    702,345/1,541,397 = 1,541,397/x
  3. Step 3: Cross multiply
    702,345x = 1,541,397 × 1,541,397
  4. Step 4: Simplify right side
    702,345x = 2,375,904,711,609
  5. Step 5: Solve for x
    x = 2,375,904,711,609/702,345
  6. Step 6: Final answer
    x = 3,382,817.15

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Why These Related Problems?

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