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Finding the Third Proportional to 948,448 and 1,686,374

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Solution

The third proportional to 948,448 and 1,686,374 is: 2,998,432.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    948,448 : 1,686,374 = 1,686,374 : x
  2. Step 2: Convert to fraction form
    948,448/1,686,374 = 1,686,374/x
  3. Step 3: Cross multiply
    948,448x = 1,686,374 × 1,686,374
  4. Step 4: Simplify right side
    948,448x = 2,843,857,267,876
  5. Step 5: Solve for x
    x = 2,843,857,267,876/948,448
  6. Step 6: Final answer
    x = 2,998,432.46

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These problems maintain the same ratio (1.78) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.