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Finding the Third Proportional to 1,514,031 and 3,198,657

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Solution

The third proportional to 1,514,031 and 3,198,657 is: 6,757,725.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,514,031 : 3,198,657 = 3,198,657 : x
  2. Step 2: Convert to fraction form
    1,514,031/3,198,657 = 3,198,657/x
  3. Step 3: Cross multiply
    1,514,031x = 3,198,657 × 3,198,657
  4. Step 4: Simplify right side
    1,514,031x = 10,231,406,603,649
  5. Step 5: Solve for x
    x = 10,231,406,603,649/1,514,031
  6. Step 6: Final answer
    x = 6,757,725.97

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These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.