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Finding the Third Proportional to 1,071,394.31 and 2,288,091.84

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Solution

The third proportional to 1,071,394.31 and 2,288,091.84 is: 4,886,496.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,071,394.31 : 2,288,091.84 = 2,288,091.84 : x
  2. Step 2: Convert to fraction form
    1,071,394.31/2,288,091.84 = 2,288,091.84/x
  3. Step 3: Cross multiply
    1,071,394.31x = 2,288,091.84 × 2,288,091.84
  4. Step 4: Simplify right side
    1,071,394.31x = 5,235,364,285,435.27
  5. Step 5: Solve for x
    x = 5,235,364,285,435.27/1,071,394.31
  6. Step 6: Final answer
    x = 4,886,496.25

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.