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Finding the Third Proportional to 754,025 and 1,560,535

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Solution

The third proportional to 754,025 and 1,560,535 is: 3,229,693.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    754,025 : 1,560,535 = 1,560,535 : x
  2. Step 2: Convert to fraction form
    754,025/1,560,535 = 1,560,535/x
  3. Step 3: Cross multiply
    754,025x = 1,560,535 × 1,560,535
  4. Step 4: Simplify right side
    754,025x = 2,435,269,486,225
  5. Step 5: Solve for x
    x = 2,435,269,486,225/754,025
  6. Step 6: Final answer
    x = 3,229,693.29

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.