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Finding the Third Proportional to 1,668,404.25 and 3,642,624

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Solution

The third proportional to 1,668,404.25 and 3,642,624 is: 7,952,934.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,668,404.25 : 3,642,624 = 3,642,624 : x
  2. Step 2: Convert to fraction form
    1,668,404.25/3,642,624 = 3,642,624/x
  3. Step 3: Cross multiply
    1,668,404.25x = 3,642,624 × 3,642,624
  4. Step 4: Simplify right side
    1,668,404.25x = 13,268,709,605,376
  5. Step 5: Solve for x
    x = 13,268,709,605,376/1,668,404.25
  6. Step 6: Final answer
    x = 7,952,934.43

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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.