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Finding the Third Proportional to 517,702 and 1,060,496

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Solution

The third proportional to 517,702 and 1,060,496 is: 2,172,392.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    517,702 : 1,060,496 = 1,060,496 : x
  2. Step 2: Convert to fraction form
    517,702/1,060,496 = 1,060,496/x
  3. Step 3: Cross multiply
    517,702x = 1,060,496 × 1,060,496
  4. Step 4: Simplify right side
    517,702x = 1,124,651,766,016
  5. Step 5: Solve for x
    x = 1,124,651,766,016/517,702
  6. Step 6: Final answer
    x = 2,172,392.16

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.