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Finding the Third Proportional to 486,772 and 726,106

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Solution

The third proportional to 486,772 and 726,106 is: 1,083,114.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    486,772 : 726,106 = 726,106 : x
  2. Step 2: Convert to fraction form
    486,772/726,106 = 726,106/x
  3. Step 3: Cross multiply
    486,772x = 726,106 × 726,106
  4. Step 4: Simplify right side
    486,772x = 527,229,923,236
  5. Step 5: Solve for x
    x = 527,229,923,236/486,772
  6. Step 6: Final answer
    x = 1,083,114.73

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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.