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Finding the Third Proportional to 1,569,408 and 2,424,096

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Solution

The third proportional to 1,569,408 and 2,424,096 is: 3,744,240.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,569,408 : 2,424,096 = 2,424,096 : x
  2. Step 2: Convert to fraction form
    1,569,408/2,424,096 = 2,424,096/x
  3. Step 3: Cross multiply
    1,569,408x = 2,424,096 × 2,424,096
  4. Step 4: Simplify right side
    1,569,408x = 5,876,241,417,216
  5. Step 5: Solve for x
    x = 5,876,241,417,216/1,569,408
  6. Step 6: Final answer
    x = 3,744,240.77

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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.