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Finding the Third Proportional to 440,461.13 and 961,816.78

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Solution

The third proportional to 440,461.13 and 961,816.78 is: 2,100,279.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    440,461.13 : 961,816.78 = 961,816.78 : x
  2. Step 2: Convert to fraction form
    440,461.13/961,816.78 = 961,816.78/x
  3. Step 3: Cross multiply
    440,461.13x = 961,816.78 × 961,816.78
  4. Step 4: Simplify right side
    440,461.13x = 925,091,520,694.11
  5. Step 5: Solve for x
    x = 925,091,520,694.11/440,461.13
  6. Step 6: Final answer
    x = 2,100,279.61

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.