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Finding the Third Proportional to 723,180 and 1,119,762

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Solution

The third proportional to 723,180 and 1,119,762 is: 1,733,824.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    723,180 : 1,119,762 = 1,119,762 : x
  2. Step 2: Convert to fraction form
    723,180/1,119,762 = 1,119,762/x
  3. Step 3: Cross multiply
    723,180x = 1,119,762 × 1,119,762
  4. Step 4: Simplify right side
    723,180x = 1,253,866,936,644
  5. Step 5: Solve for x
    x = 1,253,866,936,644/723,180
  6. Step 6: Final answer
    x = 1,733,824.13

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.