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Finding the Third Proportional to 1,215,703 and 2,814,132

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Solution

The third proportional to 1,215,703 and 2,814,132 is: 6,514,205.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,215,703 : 2,814,132 = 2,814,132 : x
  2. Step 2: Convert to fraction form
    1,215,703/2,814,132 = 2,814,132/x
  3. Step 3: Cross multiply
    1,215,703x = 2,814,132 × 2,814,132
  4. Step 4: Simplify right side
    1,215,703x = 7,919,338,913,424
  5. Step 5: Solve for x
    x = 7,919,338,913,424/1,215,703
  6. Step 6: Final answer
    x = 6,514,205.29

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.