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Finding the Third Proportional to 726,451.50 and 1,482,468

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Solution

The third proportional to 726,451.50 and 1,482,468 is: 3,025,269.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    726,451.50 : 1,482,468 = 1,482,468 : x
  2. Step 2: Convert to fraction form
    726,451.50/1,482,468 = 1,482,468/x
  3. Step 3: Cross multiply
    726,451.50x = 1,482,468 × 1,482,468
  4. Step 4: Simplify right side
    726,451.50x = 2,197,711,371,024
  5. Step 5: Solve for x
    x = 2,197,711,371,024/726,451.50
  6. Step 6: Final answer
    x = 3,025,269.23

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.