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Finding the Third Proportional to 414,474 and 887,754

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Solution

The third proportional to 414,474 and 887,754 is: 1,901,463.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,474 : 887,754 = 887,754 : x
  2. Step 2: Convert to fraction form
    414,474/887,754 = 887,754/x
  3. Step 3: Cross multiply
    414,474x = 887,754 × 887,754
  4. Step 4: Simplify right side
    414,474x = 788,107,164,516
  5. Step 5: Solve for x
    x = 788,107,164,516/414,474
  6. Step 6: Final answer
    x = 1,901,463.46

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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.