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Finding the Third Proportional to 410,068 and 881,448

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Solution

The third proportional to 410,068 and 881,448 is: 1,894,687.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,068 : 881,448 = 881,448 : x
  2. Step 2: Convert to fraction form
    410,068/881,448 = 881,448/x
  3. Step 3: Cross multiply
    410,068x = 881,448 × 881,448
  4. Step 4: Simplify right side
    410,068x = 776,950,576,704
  5. Step 5: Solve for x
    x = 776,950,576,704/410,068
  6. Step 6: Final answer
    x = 1,894,687.17

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.