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Finding the Third Proportional to 444,599.13 and 935,659.38

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Solution

The third proportional to 444,599.13 and 935,659.38 is: 1,969,096.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    444,599.13 : 935,659.38 = 935,659.38 : x
  2. Step 2: Convert to fraction form
    444,599.13/935,659.38 = 935,659.38/x
  3. Step 3: Cross multiply
    444,599.13x = 935,659.38 × 935,659.38
  4. Step 4: Simplify right side
    444,599.13x = 875,458,466,025.39
  5. Step 5: Solve for x
    x = 875,458,466,025.39/444,599.13
  6. Step 6: Final answer
    x = 1,969,096.24

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.