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Finding the Third Proportional to 2,392,711 and 3,677,762

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Solution

The third proportional to 2,392,711 and 3,677,762 is: 5,652,974.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,392,711 : 3,677,762 = 3,677,762 : x
  2. Step 2: Convert to fraction form
    2,392,711/3,677,762 = 3,677,762/x
  3. Step 3: Cross multiply
    2,392,711x = 3,677,762 × 3,677,762
  4. Step 4: Simplify right side
    2,392,711x = 13,525,933,328,644
  5. Step 5: Solve for x
    x = 13,525,933,328,644/2,392,711
  6. Step 6: Final answer
    x = 5,652,974.11

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.