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Finding the Third Proportional to 486,697 and 726,006

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Solution

The third proportional to 486,697 and 726,006 is: 1,082,983.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    486,697 : 726,006 = 726,006 : x
  2. Step 2: Convert to fraction form
    486,697/726,006 = 726,006/x
  3. Step 3: Cross multiply
    486,697x = 726,006 × 726,006
  4. Step 4: Simplify right side
    486,697x = 527,084,712,036
  5. Step 5: Solve for x
    x = 527,084,712,036/486,697
  6. Step 6: Final answer
    x = 1,082,983.28

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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.