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Finding the Third Proportional to 726,673.50 and 1,564,398

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Solution

The third proportional to 726,673.50 and 1,564,398 is: 3,367,868.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    726,673.50 : 1,564,398 = 1,564,398 : x
  2. Step 2: Convert to fraction form
    726,673.50/1,564,398 = 1,564,398/x
  3. Step 3: Cross multiply
    726,673.50x = 1,564,398 × 1,564,398
  4. Step 4: Simplify right side
    726,673.50x = 2,447,341,102,404
  5. Step 5: Solve for x
    x = 2,447,341,102,404/726,673.50
  6. Step 6: Final answer
    x = 3,367,868.93

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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.