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Finding the Third Proportional to 625,892 and 941,832

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Solution

The third proportional to 625,892 and 941,832 is: 1,417,253.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    625,892 : 941,832 = 941,832 : x
  2. Step 2: Convert to fraction form
    625,892/941,832 = 941,832/x
  3. Step 3: Cross multiply
    625,892x = 941,832 × 941,832
  4. Step 4: Simplify right side
    625,892x = 887,047,516,224
  5. Step 5: Solve for x
    x = 887,047,516,224/625,892
  6. Step 6: Final answer
    x = 1,417,253.32

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.