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Finding the Third Proportional to 635,330 and 987,843

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Solution

The third proportional to 635,330 and 987,843 is: 1,535,947.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    635,330 : 987,843 = 987,843 : x
  2. Step 2: Convert to fraction form
    635,330/987,843 = 987,843/x
  3. Step 3: Cross multiply
    635,330x = 987,843 × 987,843
  4. Step 4: Simplify right side
    635,330x = 975,833,792,649
  5. Step 5: Solve for x
    x = 975,833,792,649/635,330
  6. Step 6: Final answer
    x = 1,535,947.92

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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.