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Finding the Third Proportional to 871,434 and 1,320,192

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Solution

The third proportional to 871,434 and 1,320,192 is: 2,000,044.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    871,434 : 1,320,192 = 1,320,192 : x
  2. Step 2: Convert to fraction form
    871,434/1,320,192 = 1,320,192/x
  3. Step 3: Cross multiply
    871,434x = 1,320,192 × 1,320,192
  4. Step 4: Simplify right side
    871,434x = 1,742,906,916,864
  5. Step 5: Solve for x
    x = 1,742,906,916,864/871,434
  6. Step 6: Final answer
    x = 2,000,044.66

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.