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Finding the Third Proportional to 2,864,608 and 4,142,728

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Solution

The third proportional to 2,864,608 and 4,142,728 is: 5,991,114.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,864,608 : 4,142,728 = 4,142,728 : x
  2. Step 2: Convert to fraction form
    2,864,608/4,142,728 = 4,142,728/x
  3. Step 3: Cross multiply
    2,864,608x = 4,142,728 × 4,142,728
  4. Step 4: Simplify right side
    2,864,608x = 17,162,195,281,984
  5. Step 5: Solve for x
    x = 17,162,195,281,984/2,864,608
  6. Step 6: Final answer
    x = 5,991,114.76

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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.