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Finding the Third Proportional to 727,138 and 1,521,092

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Solution

The third proportional to 727,138 and 1,521,092 is: 3,181,955.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    727,138 : 1,521,092 = 1,521,092 : x
  2. Step 2: Convert to fraction form
    727,138/1,521,092 = 1,521,092/x
  3. Step 3: Cross multiply
    727,138x = 1,521,092 × 1,521,092
  4. Step 4: Simplify right side
    727,138x = 2,313,720,872,464
  5. Step 5: Solve for x
    x = 2,313,720,872,464/727,138
  6. Step 6: Final answer
    x = 3,181,955.66

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.