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Finding the Third Proportional to 429,892 and 937,496

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Solution

The third proportional to 429,892 and 937,496 is: 2,044,464.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,892 : 937,496 = 937,496 : x
  2. Step 2: Convert to fraction form
    429,892/937,496 = 937,496/x
  3. Step 3: Cross multiply
    429,892x = 937,496 × 937,496
  4. Step 4: Simplify right side
    429,892x = 878,898,750,016
  5. Step 5: Solve for x
    x = 878,898,750,016/429,892
  6. Step 6: Final answer
    x = 2,044,464.07

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.