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Finding the Third Proportional to 1,429,687.97 and 2,178,073.55

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Solution

The third proportional to 1,429,687.97 and 2,178,073.55 is: 3,318,209.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,429,687.97 : 2,178,073.55 = 2,178,073.55 : x
  2. Step 2: Convert to fraction form
    1,429,687.97/2,178,073.55 = 2,178,073.55/x
  3. Step 3: Cross multiply
    1,429,687.97x = 2,178,073.55 × 2,178,073.55
  4. Step 4: Simplify right side
    1,429,687.97x = 4,744,004,375,596.64
  5. Step 5: Solve for x
    x = 4,744,004,375,596.64/1,429,687.97
  6. Step 6: Final answer
    x = 3,318,209.62

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.