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Finding the Third Proportional to 523,839 and 1,143,633

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Solution

The third proportional to 523,839 and 1,143,633 is: 2,496,752.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    523,839 : 1,143,633 = 1,143,633 : x
  2. Step 2: Convert to fraction form
    523,839/1,143,633 = 1,143,633/x
  3. Step 3: Cross multiply
    523,839x = 1,143,633 × 1,143,633
  4. Step 4: Simplify right side
    523,839x = 1,307,896,438,689
  5. Step 5: Solve for x
    x = 1,307,896,438,689/523,839
  6. Step 6: Final answer
    x = 2,496,752.70

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.