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Finding the Third Proportional to 476,963 and 1,036,757

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Solution

The third proportional to 476,963 and 1,036,757 is: 2,253,560.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    476,963 : 1,036,757 = 1,036,757 : x
  2. Step 2: Convert to fraction form
    476,963/1,036,757 = 1,036,757/x
  3. Step 3: Cross multiply
    476,963x = 1,036,757 × 1,036,757
  4. Step 4: Simplify right side
    476,963x = 1,074,865,077,049
  5. Step 5: Solve for x
    x = 1,074,865,077,049/476,963
  6. Step 6: Final answer
    x = 2,253,560.71

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.