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Finding the Third Proportional to 516,108 and 1,052,952

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Solution

The third proportional to 516,108 and 1,052,952 is: 2,148,209.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    516,108 : 1,052,952 = 1,052,952 : x
  2. Step 2: Convert to fraction form
    516,108/1,052,952 = 1,052,952/x
  3. Step 3: Cross multiply
    516,108x = 1,052,952 × 1,052,952
  4. Step 4: Simplify right side
    516,108x = 1,108,707,914,304
  5. Step 5: Solve for x
    x = 1,108,707,914,304/516,108
  6. Step 6: Final answer
    x = 2,148,209.12

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.