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Finding the Third Proportional to 881,583 and 1,309,414.50

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Solution

The third proportional to 881,583 and 1,309,414.50 is: 1,944,872.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    881,583 : 1,309,414.50 = 1,309,414.50 : x
  2. Step 2: Convert to fraction form
    881,583/1,309,414.50 = 1,309,414.50/x
  3. Step 3: Cross multiply
    881,583x = 1,309,414.50 × 1,309,414.50
  4. Step 4: Simplify right side
    881,583x = 1,714,566,332,810.25
  5. Step 5: Solve for x
    x = 1,714,566,332,810.25/881,583
  6. Step 6: Final answer
    x = 1,944,872.27

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.