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Finding the Third Proportional to 516,186 and 1,132,002

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Solution

The third proportional to 516,186 and 1,132,002 is: 2,482,493.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    516,186 : 1,132,002 = 1,132,002 : x
  2. Step 2: Convert to fraction form
    516,186/1,132,002 = 1,132,002/x
  3. Step 3: Cross multiply
    516,186x = 1,132,002 × 1,132,002
  4. Step 4: Simplify right side
    516,186x = 1,281,428,528,004
  5. Step 5: Solve for x
    x = 1,281,428,528,004/516,186
  6. Step 6: Final answer
    x = 2,482,493.77

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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.