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Finding the Third Proportional to 645,859.97 and 1,390,441.19

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Solution

The third proportional to 645,859.97 and 1,390,441.19 is: 2,993,414.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    645,859.97 : 1,390,441.19 = 1,390,441.19 : x
  2. Step 2: Convert to fraction form
    645,859.97/1,390,441.19 = 1,390,441.19/x
  3. Step 3: Cross multiply
    645,859.97x = 1,390,441.19 × 1,390,441.19
  4. Step 4: Simplify right side
    645,859.97x = 1,933,326,695,896.41
  5. Step 5: Solve for x
    x = 1,933,326,695,896.41/645,859.97
  6. Step 6: Final answer
    x = 2,993,414.66

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.