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Finding the Third Proportional to 614,612 and 1,341,296

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Solution

The third proportional to 614,612 and 1,341,296 is: 2,927,171.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    614,612 : 1,341,296 = 1,341,296 : x
  2. Step 2: Convert to fraction form
    614,612/1,341,296 = 1,341,296/x
  3. Step 3: Cross multiply
    614,612x = 1,341,296 × 1,341,296
  4. Step 4: Simplify right side
    614,612x = 1,799,074,959,616
  5. Step 5: Solve for x
    x = 1,799,074,959,616/614,612
  6. Step 6: Final answer
    x = 2,927,171.87

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.