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Finding the Third Proportional to 414,261 and 887,517

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Solution

The third proportional to 414,261 and 887,517 is: 1,901,425.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,261 : 887,517 = 887,517 : x
  2. Step 2: Convert to fraction form
    414,261/887,517 = 887,517/x
  3. Step 3: Cross multiply
    414,261x = 887,517 × 887,517
  4. Step 4: Simplify right side
    414,261x = 787,686,425,289
  5. Step 5: Solve for x
    x = 787,686,425,289/414,261
  6. Step 6: Final answer
    x = 1,901,425.49

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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.