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Finding the Third Proportional to 1,569,420 and 2,424,114

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Solution

The third proportional to 1,569,420 and 2,424,114 is: 3,744,267.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,569,420 : 2,424,114 = 2,424,114 : x
  2. Step 2: Convert to fraction form
    1,569,420/2,424,114 = 2,424,114/x
  3. Step 3: Cross multiply
    1,569,420x = 2,424,114 × 2,424,114
  4. Step 4: Simplify right side
    1,569,420x = 5,876,328,684,996
  5. Step 5: Solve for x
    x = 5,876,328,684,996/1,569,420
  6. Step 6: Final answer
    x = 3,744,267.75

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.