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Finding the Third Proportional to 438,968.11 and 961,819.31

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Solution

The third proportional to 438,968.11 and 961,819.31 is: 2,107,434.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    438,968.11 : 961,819.31 = 961,819.31 : x
  2. Step 2: Convert to fraction form
    438,968.11/961,819.31 = 961,819.31/x
  3. Step 3: Cross multiply
    438,968.11x = 961,819.31 × 961,819.31
  4. Step 4: Simplify right side
    438,968.11x = 925,096,389,897.97
  5. Step 5: Solve for x
    x = 925,096,389,897.97/438,968.11
  6. Step 6: Final answer
    x = 2,107,434.16

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.