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Finding the Third Proportional to 427,886.44 and 927,123.19

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Solution

The third proportional to 427,886.44 and 927,123.19 is: 2,008,844.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    427,886.44 : 927,123.19 = 927,123.19 : x
  2. Step 2: Convert to fraction form
    427,886.44/927,123.19 = 927,123.19/x
  3. Step 3: Cross multiply
    427,886.44x = 927,123.19 × 927,123.19
  4. Step 4: Simplify right side
    427,886.44x = 859,557,404,800.16
  5. Step 5: Solve for x
    x = 859,557,404,800.16/427,886.44
  6. Step 6: Final answer
    x = 2,008,844.71

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.