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Finding the Third Proportional to 403,782 and 874,448

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Solution

The third proportional to 403,782 and 874,448 is: 1,893,742.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    403,782 : 874,448 = 874,448 : x
  2. Step 2: Convert to fraction form
    403,782/874,448 = 874,448/x
  3. Step 3: Cross multiply
    403,782x = 874,448 × 874,448
  4. Step 4: Simplify right side
    403,782x = 764,659,304,704
  5. Step 5: Solve for x
    x = 764,659,304,704/403,782
  6. Step 6: Final answer
    x = 1,893,742.92

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.