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Finding the Third Proportional to 824,802.75 and 1,242,481.78

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Solution

The third proportional to 824,802.75 and 1,242,481.78 is: 1,871,672.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    824,802.75 : 1,242,481.78 = 1,242,481.78 : x
  2. Step 2: Convert to fraction form
    824,802.75/1,242,481.78 = 1,242,481.78/x
  3. Step 3: Cross multiply
    824,802.75x = 1,242,481.78 × 1,242,481.78
  4. Step 4: Simplify right side
    824,802.75x = 1,543,760,976,738.17
  5. Step 5: Solve for x
    x = 1,543,760,976,738.17/824,802.75
  6. Step 6: Final answer
    x = 1,871,672.93

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.