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Finding the Third Proportional to 738,067 and 1,103,257

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Solution

The third proportional to 738,067 and 1,103,257 is: 1,649,140.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    738,067 : 1,103,257 = 1,103,257 : x
  2. Step 2: Convert to fraction form
    738,067/1,103,257 = 1,103,257/x
  3. Step 3: Cross multiply
    738,067x = 1,103,257 × 1,103,257
  4. Step 4: Simplify right side
    738,067x = 1,217,176,008,049
  5. Step 5: Solve for x
    x = 1,217,176,008,049/738,067
  6. Step 6: Final answer
    x = 1,649,140.27

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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.