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Finding the Third Proportional to 513,902 and 1,106,542

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Solution

The third proportional to 513,902 and 1,106,542 is: 2,382,623.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    513,902 : 1,106,542 = 1,106,542 : x
  2. Step 2: Convert to fraction form
    513,902/1,106,542 = 1,106,542/x
  3. Step 3: Cross multiply
    513,902x = 1,106,542 × 1,106,542
  4. Step 4: Simplify right side
    513,902x = 1,224,435,197,764
  5. Step 5: Solve for x
    x = 1,224,435,197,764/513,902
  6. Step 6: Final answer
    x = 2,382,623.92

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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.