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Finding the Third Proportional to 884,562.75 and 1,325,456.44

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Solution

The third proportional to 884,562.75 and 1,325,456.44 is: 1,986,105.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    884,562.75 : 1,325,456.44 = 1,325,456.44 : x
  2. Step 2: Convert to fraction form
    884,562.75/1,325,456.44 = 1,325,456.44/x
  3. Step 3: Cross multiply
    884,562.75x = 1,325,456.44 × 1,325,456.44
  4. Step 4: Simplify right side
    884,562.75x = 1,756,834,767,710.19
  5. Step 5: Solve for x
    x = 1,756,834,767,710.19/884,562.75
  6. Step 6: Final answer
    x = 1,986,105.30

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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.