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Finding the Third Proportional to 413,810 and 888,861

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Solution

The third proportional to 413,810 and 888,861 is: 1,909,267.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,810 : 888,861 = 888,861 : x
  2. Step 2: Convert to fraction form
    413,810/888,861 = 888,861/x
  3. Step 3: Cross multiply
    413,810x = 888,861 × 888,861
  4. Step 4: Simplify right side
    413,810x = 790,073,877,321
  5. Step 5: Solve for x
    x = 790,073,877,321/413,810
  6. Step 6: Final answer
    x = 1,909,267.24

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.