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Finding the Third Proportional to 2,042,432 and 2,862,100

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Solution

The third proportional to 2,042,432 and 2,862,100 is: 4,010,716.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,042,432 : 2,862,100 = 2,862,100 : x
  2. Step 2: Convert to fraction form
    2,042,432/2,862,100 = 2,862,100/x
  3. Step 3: Cross multiply
    2,042,432x = 2,862,100 × 2,862,100
  4. Step 4: Simplify right side
    2,042,432x = 8,191,616,410,000
  5. Step 5: Solve for x
    x = 8,191,616,410,000/2,042,432
  6. Step 6: Final answer
    x = 4,010,716.84

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.