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Finding the Third Proportional to 581,195.25 and 1,274,535

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Solution

The third proportional to 581,195.25 and 1,274,535 is: 2,794,997.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    581,195.25 : 1,274,535 = 1,274,535 : x
  2. Step 2: Convert to fraction form
    581,195.25/1,274,535 = 1,274,535/x
  3. Step 3: Cross multiply
    581,195.25x = 1,274,535 × 1,274,535
  4. Step 4: Simplify right side
    581,195.25x = 1,624,439,466,225
  5. Step 5: Solve for x
    x = 1,624,439,466,225/581,195.25
  6. Step 6: Final answer
    x = 2,794,997.84

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Why These Related Problems?

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