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Finding the Third Proportional to 414,478 and 887,762

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Solution

The third proportional to 414,478 and 887,762 is: 1,901,479.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,478 : 887,762 = 887,762 : x
  2. Step 2: Convert to fraction form
    414,478/887,762 = 887,762/x
  3. Step 3: Cross multiply
    414,478x = 887,762 × 887,762
  4. Step 4: Simplify right side
    414,478x = 788,121,368,644
  5. Step 5: Solve for x
    x = 788,121,368,644/414,478
  6. Step 6: Final answer
    x = 1,901,479.38

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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.