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Finding the Third Proportional to 781,434 and 1,704,267

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Solution

The third proportional to 781,434 and 1,704,267 is: 3,716,917.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    781,434 : 1,704,267 = 1,704,267 : x
  2. Step 2: Convert to fraction form
    781,434/1,704,267 = 1,704,267/x
  3. Step 3: Cross multiply
    781,434x = 1,704,267 × 1,704,267
  4. Step 4: Simplify right side
    781,434x = 2,904,526,007,289
  5. Step 5: Solve for x
    x = 2,904,526,007,289/781,434
  6. Step 6: Final answer
    x = 3,716,917.88

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.