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Finding the Third Proportional to 2,361,344 and 3,689,472

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Solution

The third proportional to 2,361,344 and 3,689,472 is: 5,764,600.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,361,344 : 3,689,472 = 3,689,472 : x
  2. Step 2: Convert to fraction form
    2,361,344/3,689,472 = 3,689,472/x
  3. Step 3: Cross multiply
    2,361,344x = 3,689,472 × 3,689,472
  4. Step 4: Simplify right side
    2,361,344x = 13,612,203,638,784
  5. Step 5: Solve for x
    x = 13,612,203,638,784/2,361,344
  6. Step 6: Final answer
    x = 5,764,600.01

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These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.