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Finding the Third Proportional to 871,736 and 1,332,972

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Solution

The third proportional to 871,736 and 1,332,972 is: 2,038,248.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    871,736 : 1,332,972 = 1,332,972 : x
  2. Step 2: Convert to fraction form
    871,736/1,332,972 = 1,332,972/x
  3. Step 3: Cross multiply
    871,736x = 1,332,972 × 1,332,972
  4. Step 4: Simplify right side
    871,736x = 1,776,814,352,784
  5. Step 5: Solve for x
    x = 1,776,814,352,784/871,736
  6. Step 6: Final answer
    x = 2,038,248.22

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.