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Finding the Third Proportional to 730,217 and 1,572,781

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Solution

The third proportional to 730,217 and 1,572,781 is: 3,387,541.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    730,217 : 1,572,781 = 1,572,781 : x
  2. Step 2: Convert to fraction form
    730,217/1,572,781 = 1,572,781/x
  3. Step 3: Cross multiply
    730,217x = 1,572,781 × 1,572,781
  4. Step 4: Simplify right side
    730,217x = 2,473,640,073,961
  5. Step 5: Solve for x
    x = 2,473,640,073,961/730,217
  6. Step 6: Final answer
    x = 3,387,541.07

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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.