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Finding the Third Proportional to 782,415 and 1,650,055

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Solution

The third proportional to 782,415 and 1,650,055 is: 3,479,843.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    782,415 : 1,650,055 = 1,650,055 : x
  2. Step 2: Convert to fraction form
    782,415/1,650,055 = 1,650,055/x
  3. Step 3: Cross multiply
    782,415x = 1,650,055 × 1,650,055
  4. Step 4: Simplify right side
    782,415x = 2,722,681,503,025
  5. Step 5: Solve for x
    x = 2,722,681,503,025/782,415
  6. Step 6: Final answer
    x = 3,479,843.18

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These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.