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Finding the Third Proportional to 664,206.75 and 1,375,677

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Solution

The third proportional to 664,206.75 and 1,375,677 is: 2,849,244.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    664,206.75 : 1,375,677 = 1,375,677 : x
  2. Step 2: Convert to fraction form
    664,206.75/1,375,677 = 1,375,677/x
  3. Step 3: Cross multiply
    664,206.75x = 1,375,677 × 1,375,677
  4. Step 4: Simplify right side
    664,206.75x = 1,892,487,208,329
  5. Step 5: Solve for x
    x = 1,892,487,208,329/664,206.75
  6. Step 6: Final answer
    x = 2,849,244.17

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.