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Finding the Third Proportional to 406,989.75 and 868,017.75

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Solution

The third proportional to 406,989.75 and 868,017.75 is: 1,851,286.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,989.75 : 868,017.75 = 868,017.75 : x
  2. Step 2: Convert to fraction form
    406,989.75/868,017.75 = 868,017.75/x
  3. Step 3: Cross multiply
    406,989.75x = 868,017.75 × 868,017.75
  4. Step 4: Simplify right side
    406,989.75x = 753,454,814,315.06
  5. Step 5: Solve for x
    x = 753,454,814,315.06/406,989.75
  6. Step 6: Final answer
    x = 1,851,286.95

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These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.