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Finding the Third Proportional to 414,524 and 885,920

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Solution

The third proportional to 414,524 and 885,920 is: 1,893,386.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,524 : 885,920 = 885,920 : x
  2. Step 2: Convert to fraction form
    414,524/885,920 = 885,920/x
  3. Step 3: Cross multiply
    414,524x = 885,920 × 885,920
  4. Step 4: Simplify right side
    414,524x = 784,854,246,400
  5. Step 5: Solve for x
    x = 784,854,246,400/414,524
  6. Step 6: Final answer
    x = 1,893,386.74

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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.