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Finding the Third Proportional to 2,392,672 and 3,677,711

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Solution

The third proportional to 2,392,672 and 3,677,711 is: 5,652,909.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,392,672 : 3,677,711 = 3,677,711 : x
  2. Step 2: Convert to fraction form
    2,392,672/3,677,711 = 3,677,711/x
  3. Step 3: Cross multiply
    2,392,672x = 3,677,711 × 3,677,711
  4. Step 4: Simplify right side
    2,392,672x = 13,525,558,199,521
  5. Step 5: Solve for x
    x = 13,525,558,199,521/2,392,672
  6. Step 6: Final answer
    x = 5,652,909.47

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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.