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Finding the Third Proportional to 2,657,002 and 3,728,298

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Solution

The third proportional to 2,657,002 and 3,728,298 is: 5,231,537.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,657,002 : 3,728,298 = 3,728,298 : x
  2. Step 2: Convert to fraction form
    2,657,002/3,728,298 = 3,728,298/x
  3. Step 3: Cross multiply
    2,657,002x = 3,728,298 × 3,728,298
  4. Step 4: Simplify right side
    2,657,002x = 13,900,205,976,804
  5. Step 5: Solve for x
    x = 13,900,205,976,804/2,657,002
  6. Step 6: Final answer
    x = 5,231,537.64

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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.