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Finding the Third Proportional to 440,470 and 961,838

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Solution

The third proportional to 440,470 and 961,838 is: 2,100,329.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    440,470 : 961,838 = 961,838 : x
  2. Step 2: Convert to fraction form
    440,470/961,838 = 961,838/x
  3. Step 3: Cross multiply
    440,470x = 961,838 × 961,838
  4. Step 4: Simplify right side
    440,470x = 925,132,338,244
  5. Step 5: Solve for x
    x = 925,132,338,244/440,470
  6. Step 6: Final answer
    x = 2,100,329.96

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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.