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Finding the Third Proportional to 1,569,325 and 2,424,975

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Solution

The third proportional to 1,569,325 and 2,424,975 is: 3,747,154.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,569,325 : 2,424,975 = 2,424,975 : x
  2. Step 2: Convert to fraction form
    1,569,325/2,424,975 = 2,424,975/x
  3. Step 3: Cross multiply
    1,569,325x = 2,424,975 × 2,424,975
  4. Step 4: Simplify right side
    1,569,325x = 5,880,503,750,625
  5. Step 5: Solve for x
    x = 5,880,503,750,625/1,569,325
  6. Step 6: Final answer
    x = 3,747,154.83

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.