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Finding the Third Proportional to 636,112 and 1,348,064

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Solution

The third proportional to 636,112 and 1,348,064 is: 2,856,849.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    636,112 : 1,348,064 = 1,348,064 : x
  2. Step 2: Convert to fraction form
    636,112/1,348,064 = 1,348,064/x
  3. Step 3: Cross multiply
    636,112x = 1,348,064 × 1,348,064
  4. Step 4: Simplify right side
    636,112x = 1,817,276,548,096
  5. Step 5: Solve for x
    x = 1,817,276,548,096/636,112
  6. Step 6: Final answer
    x = 2,856,849.97

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These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.