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Finding the Third Proportional to 757,632 and 1,541,376

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Solution

The third proportional to 757,632 and 1,541,376 is: 3,135,875.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    757,632 : 1,541,376 = 1,541,376 : x
  2. Step 2: Convert to fraction form
    757,632/1,541,376 = 1,541,376/x
  3. Step 3: Cross multiply
    757,632x = 1,541,376 × 1,541,376
  4. Step 4: Simplify right side
    757,632x = 2,375,839,973,376
  5. Step 5: Solve for x
    x = 2,375,839,973,376/757,632
  6. Step 6: Final answer
    x = 3,135,875.96

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.