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Finding the Third Proportional to 2,867,984 and 6,241,728

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Solution

The third proportional to 2,867,984 and 6,241,728 is: 13,584,165.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,867,984 : 6,241,728 = 6,241,728 : x
  2. Step 2: Convert to fraction form
    2,867,984/6,241,728 = 6,241,728/x
  3. Step 3: Cross multiply
    2,867,984x = 6,241,728 × 6,241,728
  4. Step 4: Simplify right side
    2,867,984x = 38,959,168,425,984
  5. Step 5: Solve for x
    x = 38,959,168,425,984/2,867,984
  6. Step 6: Final answer
    x = 13,584,165.19

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.