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Finding the Third Proportional to 961,084.41 and 2,114,017.31

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Solution

The third proportional to 961,084.41 and 2,114,017.31 is: 4,650,027.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    961,084.41 : 2,114,017.31 = 2,114,017.31 : x
  2. Step 2: Convert to fraction form
    961,084.41/2,114,017.31 = 2,114,017.31/x
  3. Step 3: Cross multiply
    961,084.41x = 2,114,017.31 × 2,114,017.31
  4. Step 4: Simplify right side
    961,084.41x = 4,469,069,197,549.72
  5. Step 5: Solve for x
    x = 4,469,069,197,549.72/961,084.41
  6. Step 6: Final answer
    x = 4,650,027.79

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.