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Finding the Third Proportional to 414,514 and 885,900

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Solution

The third proportional to 414,514 and 885,900 is: 1,893,346.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,514 : 885,900 = 885,900 : x
  2. Step 2: Convert to fraction form
    414,514/885,900 = 885,900/x
  3. Step 3: Cross multiply
    414,514x = 885,900 × 885,900
  4. Step 4: Simplify right side
    414,514x = 784,818,810,000
  5. Step 5: Solve for x
    x = 784,818,810,000/414,514
  6. Step 6: Final answer
    x = 1,893,346.93

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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.