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Finding the Third Proportional to 992,892 and 1,534,269

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Solution

The third proportional to 992,892 and 1,534,269 is: 2,370,833.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    992,892 : 1,534,269 = 1,534,269 : x
  2. Step 2: Convert to fraction form
    992,892/1,534,269 = 1,534,269/x
  3. Step 3: Cross multiply
    992,892x = 1,534,269 × 1,534,269
  4. Step 4: Simplify right side
    992,892x = 2,353,981,364,361
  5. Step 5: Solve for x
    x = 2,353,981,364,361/992,892
  6. Step 6: Final answer
    x = 2,370,833.25

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.