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Finding the Third Proportional to 723,747 and 1,543,680

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Solution

The third proportional to 723,747 and 1,543,680 is: 3,292,515.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    723,747 : 1,543,680 = 1,543,680 : x
  2. Step 2: Convert to fraction form
    723,747/1,543,680 = 1,543,680/x
  3. Step 3: Cross multiply
    723,747x = 1,543,680 × 1,543,680
  4. Step 4: Simplify right side
    723,747x = 2,382,947,942,400
  5. Step 5: Solve for x
    x = 2,382,947,942,400/723,747
  6. Step 6: Final answer
    x = 3,292,515.12

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.