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Finding the Third Proportional to 583,264 and 1,251,092

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Solution

The third proportional to 583,264 and 1,251,092 is: 2,683,572.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    583,264 : 1,251,092 = 1,251,092 : x
  2. Step 2: Convert to fraction form
    583,264/1,251,092 = 1,251,092/x
  3. Step 3: Cross multiply
    583,264x = 1,251,092 × 1,251,092
  4. Step 4: Simplify right side
    583,264x = 1,565,231,192,464
  5. Step 5: Solve for x
    x = 1,565,231,192,464/583,264
  6. Step 6: Final answer
    x = 2,683,572.43

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.