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Finding the Third Proportional to 864,638 and 1,381,280

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Solution

The third proportional to 864,638 and 1,381,280 is: 2,206,628.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    864,638 : 1,381,280 = 1,381,280 : x
  2. Step 2: Convert to fraction form
    864,638/1,381,280 = 1,381,280/x
  3. Step 3: Cross multiply
    864,638x = 1,381,280 × 1,381,280
  4. Step 4: Simplify right side
    864,638x = 1,907,934,438,400
  5. Step 5: Solve for x
    x = 1,907,934,438,400/864,638
  6. Step 6: Final answer
    x = 2,206,628.02

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These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.