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Finding the Third Proportional to 678,844.13 and 935,112.09

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Solution

The third proportional to 678,844.13 and 935,112.09 is: 1,288,122.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    678,844.13 : 935,112.09 = 935,112.09 : x
  2. Step 2: Convert to fraction form
    678,844.13/935,112.09 = 935,112.09/x
  3. Step 3: Cross multiply
    678,844.13x = 935,112.09 × 935,112.09
  4. Step 4: Simplify right side
    678,844.13x = 874,434,627,877.51
  5. Step 5: Solve for x
    x = 874,434,627,877.51/678,844.13
  6. Step 6: Final answer
    x = 1,288,122.85

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.