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Finding the Third Proportional to 523,266 and 1,126,398

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Solution

The third proportional to 523,266 and 1,126,398 is: 2,424,717.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    523,266 : 1,126,398 = 1,126,398 : x
  2. Step 2: Convert to fraction form
    523,266/1,126,398 = 1,126,398/x
  3. Step 3: Cross multiply
    523,266x = 1,126,398 × 1,126,398
  4. Step 4: Simplify right side
    523,266x = 1,268,772,454,404
  5. Step 5: Solve for x
    x = 1,268,772,454,404/523,266
  6. Step 6: Final answer
    x = 2,424,717.93

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.