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Finding the Third Proportional to 836,144 and 1,838,760

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Solution

The third proportional to 836,144 and 1,838,760 is: 4,043,607.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    836,144 : 1,838,760 = 1,838,760 : x
  2. Step 2: Convert to fraction form
    836,144/1,838,760 = 1,838,760/x
  3. Step 3: Cross multiply
    836,144x = 1,838,760 × 1,838,760
  4. Step 4: Simplify right side
    836,144x = 3,381,038,337,600
  5. Step 5: Solve for x
    x = 3,381,038,337,600/836,144
  6. Step 6: Final answer
    x = 4,043,607.72

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.