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Finding the Third Proportional to 1,336,536 and 2,881,728

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Solution

The third proportional to 1,336,536 and 2,881,728 is: 6,213,342.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,336,536 : 2,881,728 = 2,881,728 : x
  2. Step 2: Convert to fraction form
    1,336,536/2,881,728 = 2,881,728/x
  3. Step 3: Cross multiply
    1,336,536x = 2,881,728 × 2,881,728
  4. Step 4: Simplify right side
    1,336,536x = 8,304,356,265,984
  5. Step 5: Solve for x
    x = 8,304,356,265,984/1,336,536
  6. Step 6: Final answer
    x = 6,213,342.75

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.