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Finding the Third Proportional to 747,912 and 1,602,096

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Solution

The third proportional to 747,912 and 1,602,096 is: 3,431,836.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    747,912 : 1,602,096 = 1,602,096 : x
  2. Step 2: Convert to fraction form
    747,912/1,602,096 = 1,602,096/x
  3. Step 3: Cross multiply
    747,912x = 1,602,096 × 1,602,096
  4. Step 4: Simplify right side
    747,912x = 2,566,711,593,216
  5. Step 5: Solve for x
    x = 2,566,711,593,216/747,912
  6. Step 6: Final answer
    x = 3,431,836.36

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.