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Finding the Third Proportional to 1,726,712 and 4,033,020

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Solution

The third proportional to 1,726,712 and 4,033,020 is: 9,419,781.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,726,712 : 4,033,020 = 4,033,020 : x
  2. Step 2: Convert to fraction form
    1,726,712/4,033,020 = 4,033,020/x
  3. Step 3: Cross multiply
    1,726,712x = 4,033,020 × 4,033,020
  4. Step 4: Simplify right side
    1,726,712x = 16,265,250,320,400
  5. Step 5: Solve for x
    x = 16,265,250,320,400/1,726,712
  6. Step 6: Final answer
    x = 9,419,781.83

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.