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Finding the Third Proportional to 2,367,830 and 3,813,318

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Solution

The third proportional to 2,367,830 and 3,813,318 is: 6,141,232.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,367,830 : 3,813,318 = 3,813,318 : x
  2. Step 2: Convert to fraction form
    2,367,830/3,813,318 = 3,813,318/x
  3. Step 3: Cross multiply
    2,367,830x = 3,813,318 × 3,813,318
  4. Step 4: Simplify right side
    2,367,830x = 14,541,394,169,124
  5. Step 5: Solve for x
    x = 14,541,394,169,124/2,367,830
  6. Step 6: Final answer
    x = 6,141,232.34

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These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.