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Finding the Third Proportional to 842,652 and 1,192,327.50

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Solution

The third proportional to 842,652 and 1,192,327.50 is: 1,687,107.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    842,652 : 1,192,327.50 = 1,192,327.50 : x
  2. Step 2: Convert to fraction form
    842,652/1,192,327.50 = 1,192,327.50/x
  3. Step 3: Cross multiply
    842,652x = 1,192,327.50 × 1,192,327.50
  4. Step 4: Simplify right side
    842,652x = 1,421,644,867,256.25
  5. Step 5: Solve for x
    x = 1,421,644,867,256.25/842,652
  6. Step 6: Final answer
    x = 1,687,107.93

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.