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Finding the Third Proportional to 490,711.50 and 1,056,591

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Solution

The third proportional to 490,711.50 and 1,056,591 is: 2,275,032.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    490,711.50 : 1,056,591 = 1,056,591 : x
  2. Step 2: Convert to fraction form
    490,711.50/1,056,591 = 1,056,591/x
  3. Step 3: Cross multiply
    490,711.50x = 1,056,591 × 1,056,591
  4. Step 4: Simplify right side
    490,711.50x = 1,116,384,541,281
  5. Step 5: Solve for x
    x = 1,116,384,541,281/490,711.50
  6. Step 6: Final answer
    x = 2,275,032.36

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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.