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Finding the Third Proportional to 3,136,392 and 4,612,698

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Solution

The third proportional to 3,136,392 and 4,612,698 is: 6,783,904.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,136,392 : 4,612,698 = 4,612,698 : x
  2. Step 2: Convert to fraction form
    3,136,392/4,612,698 = 4,612,698/x
  3. Step 3: Cross multiply
    3,136,392x = 4,612,698 × 4,612,698
  4. Step 4: Simplify right side
    3,136,392x = 21,276,982,839,204
  5. Step 5: Solve for x
    x = 21,276,982,839,204/3,136,392
  6. Step 6: Final answer
    x = 6,783,904.19

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.