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Finding the Third Proportional to 413,407 and 885,861

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Solution

The third proportional to 413,407 and 885,861 is: 1,898,249.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,407 : 885,861 = 885,861 : x
  2. Step 2: Convert to fraction form
    413,407/885,861 = 885,861/x
  3. Step 3: Cross multiply
    413,407x = 885,861 × 885,861
  4. Step 4: Simplify right side
    413,407x = 784,749,711,321
  5. Step 5: Solve for x
    x = 784,749,711,321/413,407
  6. Step 6: Final answer
    x = 1,898,249.69

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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.