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Finding the Third Proportional to 633,096 and 1,366,074

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Solution

The third proportional to 633,096 and 1,366,074 is: 2,947,670.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    633,096 : 1,366,074 = 1,366,074 : x
  2. Step 2: Convert to fraction form
    633,096/1,366,074 = 1,366,074/x
  3. Step 3: Cross multiply
    633,096x = 1,366,074 × 1,366,074
  4. Step 4: Simplify right side
    633,096x = 1,866,158,173,476
  5. Step 5: Solve for x
    x = 1,866,158,173,476/633,096
  6. Step 6: Final answer
    x = 2,947,670.14

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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.