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Finding the Third Proportional to 2,542,836 and 3,840,176

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Solution

The third proportional to 2,542,836 and 3,840,176 is: 5,799,411.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,542,836 : 3,840,176 = 3,840,176 : x
  2. Step 2: Convert to fraction form
    2,542,836/3,840,176 = 3,840,176/x
  3. Step 3: Cross multiply
    2,542,836x = 3,840,176 × 3,840,176
  4. Step 4: Simplify right side
    2,542,836x = 14,746,951,710,976
  5. Step 5: Solve for x
    x = 14,746,951,710,976/2,542,836
  6. Step 6: Final answer
    x = 5,799,411.25

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.