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Finding the Third Proportional to 1,781,560 and 4,157,744

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Solution

The third proportional to 1,781,560 and 4,157,744 is: 9,703,201.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,781,560 : 4,157,744 = 4,157,744 : x
  2. Step 2: Convert to fraction form
    1,781,560/4,157,744 = 4,157,744/x
  3. Step 3: Cross multiply
    1,781,560x = 4,157,744 × 4,157,744
  4. Step 4: Simplify right side
    1,781,560x = 17,286,835,169,536
  5. Step 5: Solve for x
    x = 17,286,835,169,536/1,781,560
  6. Step 6: Final answer
    x = 9,703,201.22

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These problems maintain the same ratio (2.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.