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Finding the Third Proportional to 730,038 and 1,572,397

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Solution

The third proportional to 730,038 and 1,572,397 is: 3,386,717.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    730,038 : 1,572,397 = 1,572,397 : x
  2. Step 2: Convert to fraction form
    730,038/1,572,397 = 1,572,397/x
  3. Step 3: Cross multiply
    730,038x = 1,572,397 × 1,572,397
  4. Step 4: Simplify right side
    730,038x = 2,472,432,325,609
  5. Step 5: Solve for x
    x = 2,472,432,325,609/730,038
  6. Step 6: Final answer
    x = 3,386,717.30

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.