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Finding the Third Proportional to 648,156 and 933,692

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Solution

The third proportional to 648,156 and 933,692 is: 1,345,016.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    648,156 : 933,692 = 933,692 : x
  2. Step 2: Convert to fraction form
    648,156/933,692 = 933,692/x
  3. Step 3: Cross multiply
    648,156x = 933,692 × 933,692
  4. Step 4: Simplify right side
    648,156x = 871,780,750,864
  5. Step 5: Solve for x
    x = 871,780,750,864/648,156
  6. Step 6: Final answer
    x = 1,345,016.86

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.