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Finding the Third Proportional to 747,411 and 1,754,667

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Solution

The third proportional to 747,411 and 1,754,667 is: 4,119,361.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    747,411 : 1,754,667 = 1,754,667 : x
  2. Step 2: Convert to fraction form
    747,411/1,754,667 = 1,754,667/x
  3. Step 3: Cross multiply
    747,411x = 1,754,667 × 1,754,667
  4. Step 4: Simplify right side
    747,411x = 3,078,856,280,889
  5. Step 5: Solve for x
    x = 3,078,856,280,889/747,411
  6. Step 6: Final answer
    x = 4,119,361.74

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These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.