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Finding the Third Proportional to 768,646.50 and 1,221,399

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Solution

The third proportional to 768,646.50 and 1,221,399 is: 1,940,834.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    768,646.50 : 1,221,399 = 1,221,399 : x
  2. Step 2: Convert to fraction form
    768,646.50/1,221,399 = 1,221,399/x
  3. Step 3: Cross multiply
    768,646.50x = 1,221,399 × 1,221,399
  4. Step 4: Simplify right side
    768,646.50x = 1,491,815,517,201
  5. Step 5: Solve for x
    x = 1,491,815,517,201/768,646.50
  6. Step 6: Final answer
    x = 1,940,834.33

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.