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Finding the Third Proportional to 740,137 and 1,538,451

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Solution

The third proportional to 740,137 and 1,538,451 is: 3,197,828.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    740,137 : 1,538,451 = 1,538,451 : x
  2. Step 2: Convert to fraction form
    740,137/1,538,451 = 1,538,451/x
  3. Step 3: Cross multiply
    740,137x = 1,538,451 × 1,538,451
  4. Step 4: Simplify right side
    740,137x = 2,366,831,479,401
  5. Step 5: Solve for x
    x = 2,366,831,479,401/740,137
  6. Step 6: Final answer
    x = 3,197,828.89

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.