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Finding the Third Proportional to 1,569,323 and 2,424,972

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Solution

The third proportional to 1,569,323 and 2,424,972 is: 3,747,150.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,569,323 : 2,424,972 = 2,424,972 : x
  2. Step 2: Convert to fraction form
    1,569,323/2,424,972 = 2,424,972/x
  3. Step 3: Cross multiply
    1,569,323x = 2,424,972 × 2,424,972
  4. Step 4: Simplify right side
    1,569,323x = 5,880,489,200,784
  5. Step 5: Solve for x
    x = 5,880,489,200,784/1,569,323
  6. Step 6: Final answer
    x = 3,747,150.33

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