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Finding the Third Proportional to 902,456.44 and 1,353,878.30

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Solution

The third proportional to 902,456.44 and 1,353,878.30 is: 2,031,107.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    902,456.44 : 1,353,878.30 = 1,353,878.30 : x
  2. Step 2: Convert to fraction form
    902,456.44/1,353,878.30 = 1,353,878.30/x
  3. Step 3: Cross multiply
    902,456.44x = 1,353,878.30 × 1,353,878.30
  4. Step 4: Simplify right side
    902,456.44x = 1,832,986,442,749.15
  5. Step 5: Solve for x
    x = 1,832,986,442,749.15/902,456.44
  6. Step 6: Final answer
    x = 2,031,107.95

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.