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Finding the Third Proportional to 1,465,668 and 3,229,497

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Solution

The third proportional to 1,465,668 and 3,229,497 is: 7,115,970.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,465,668 : 3,229,497 = 3,229,497 : x
  2. Step 2: Convert to fraction form
    1,465,668/3,229,497 = 3,229,497/x
  3. Step 3: Cross multiply
    1,465,668x = 3,229,497 × 3,229,497
  4. Step 4: Simplify right side
    1,465,668x = 10,429,650,873,009
  5. Step 5: Solve for x
    x = 10,429,650,873,009/1,465,668
  6. Step 6: Final answer
    x = 7,115,970.92

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.