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Finding the Third Proportional to 1,213,400 and 2,612,840

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Solution

The third proportional to 1,213,400 and 2,612,840 is: 5,626,283.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,213,400 : 2,612,840 = 2,612,840 : x
  2. Step 2: Convert to fraction form
    1,213,400/2,612,840 = 2,612,840/x
  3. Step 3: Cross multiply
    1,213,400x = 2,612,840 × 2,612,840
  4. Step 4: Simplify right side
    1,213,400x = 6,826,932,865,600
  5. Step 5: Solve for x
    x = 6,826,932,865,600/1,213,400
  6. Step 6: Final answer
    x = 5,626,283.88

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.