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Finding the Third Proportional to 750,727 and 1,650,897

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Solution

The third proportional to 750,727 and 1,650,897 is: 3,630,428.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    750,727 : 1,650,897 = 1,650,897 : x
  2. Step 2: Convert to fraction form
    750,727/1,650,897 = 1,650,897/x
  3. Step 3: Cross multiply
    750,727x = 1,650,897 × 1,650,897
  4. Step 4: Simplify right side
    750,727x = 2,725,460,904,609
  5. Step 5: Solve for x
    x = 2,725,460,904,609/750,727
  6. Step 6: Final answer
    x = 3,630,428.78

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.