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Finding the Third Proportional to 623,676 and 1,347,132

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Solution

The third proportional to 623,676 and 1,347,132 is: 2,909,787.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    623,676 : 1,347,132 = 1,347,132 : x
  2. Step 2: Convert to fraction form
    623,676/1,347,132 = 1,347,132/x
  3. Step 3: Cross multiply
    623,676x = 1,347,132 × 1,347,132
  4. Step 4: Simplify right side
    623,676x = 1,814,764,625,424
  5. Step 5: Solve for x
    x = 1,814,764,625,424/623,676
  6. Step 6: Final answer
    x = 2,909,787.49

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.