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Finding the Third Proportional to 811,737 and 1,753,470

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Solution

The third proportional to 811,737 and 1,753,470 is: 3,787,750.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    811,737 : 1,753,470 = 1,753,470 : x
  2. Step 2: Convert to fraction form
    811,737/1,753,470 = 1,753,470/x
  3. Step 3: Cross multiply
    811,737x = 1,753,470 × 1,753,470
  4. Step 4: Simplify right side
    811,737x = 3,074,657,040,900
  5. Step 5: Solve for x
    x = 3,074,657,040,900/811,737
  6. Step 6: Final answer
    x = 3,787,750.27

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.