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Finding the Third Proportional to 2,864,641 and 4,142,771

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Solution

The third proportional to 2,864,641 and 4,142,771 is: 5,991,170.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,864,641 : 4,142,771 = 4,142,771 : x
  2. Step 2: Convert to fraction form
    2,864,641/4,142,771 = 4,142,771/x
  3. Step 3: Cross multiply
    2,864,641x = 4,142,771 × 4,142,771
  4. Step 4: Simplify right side
    2,864,641x = 17,162,551,558,441
  5. Step 5: Solve for x
    x = 17,162,551,558,441/2,864,641
  6. Step 6: Final answer
    x = 5,991,170.12

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These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.