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Finding the Third Proportional to 490,133.25 and 1,074,591

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Solution

The third proportional to 490,133.25 and 1,074,591 is: 2,355,983.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    490,133.25 : 1,074,591 = 1,074,591 : x
  2. Step 2: Convert to fraction form
    490,133.25/1,074,591 = 1,074,591/x
  3. Step 3: Cross multiply
    490,133.25x = 1,074,591 × 1,074,591
  4. Step 4: Simplify right side
    490,133.25x = 1,154,745,817,281
  5. Step 5: Solve for x
    x = 1,154,745,817,281/490,133.25
  6. Step 6: Final answer
    x = 2,355,983.43

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.