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Finding the Third Proportional to 414,241 and 887,498

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Solution

The third proportional to 414,241 and 887,498 is: 1,901,435.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,241 : 887,498 = 887,498 : x
  2. Step 2: Convert to fraction form
    414,241/887,498 = 887,498/x
  3. Step 3: Cross multiply
    414,241x = 887,498 × 887,498
  4. Step 4: Simplify right side
    414,241x = 787,652,700,004
  5. Step 5: Solve for x
    x = 787,652,700,004/414,241
  6. Step 6: Final answer
    x = 1,901,435.88

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.