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Finding the Third Proportional to 517,472 and 1,131,120

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Solution

The third proportional to 517,472 and 1,131,120 is: 2,472,467.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    517,472 : 1,131,120 = 1,131,120 : x
  2. Step 2: Convert to fraction form
    517,472/1,131,120 = 1,131,120/x
  3. Step 3: Cross multiply
    517,472x = 1,131,120 × 1,131,120
  4. Step 4: Simplify right side
    517,472x = 1,279,432,454,400
  5. Step 5: Solve for x
    x = 1,279,432,454,400/517,472
  6. Step 6: Final answer
    x = 2,472,467.02

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.