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Finding the Third Proportional to 3,077,984 and 4,599,744

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Solution

The third proportional to 3,077,984 and 4,599,744 is: 6,873,864.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,077,984 : 4,599,744 = 4,599,744 : x
  2. Step 2: Convert to fraction form
    3,077,984/4,599,744 = 4,599,744/x
  3. Step 3: Cross multiply
    3,077,984x = 4,599,744 × 4,599,744
  4. Step 4: Simplify right side
    3,077,984x = 21,157,644,865,536
  5. Step 5: Solve for x
    x = 21,157,644,865,536/3,077,984
  6. Step 6: Final answer
    x = 6,873,864.47

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.