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Finding the Third Proportional to 1,215,708 and 2,814,147

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Solution

The third proportional to 1,215,708 and 2,814,147 is: 6,514,247.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,215,708 : 2,814,147 = 2,814,147 : x
  2. Step 2: Convert to fraction form
    1,215,708/2,814,147 = 2,814,147/x
  3. Step 3: Cross multiply
    1,215,708x = 2,814,147 × 2,814,147
  4. Step 4: Simplify right side
    1,215,708x = 7,919,423,337,609
  5. Step 5: Solve for x
    x = 7,919,423,337,609/1,215,708
  6. Step 6: Final answer
    x = 6,514,247.94

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