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Finding the Third Proportional to 2,707,677 and 5,946,723

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Solution

The third proportional to 2,707,677 and 5,946,723 is: 13,060,462.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,707,677 : 5,946,723 = 5,946,723 : x
  2. Step 2: Convert to fraction form
    2,707,677/5,946,723 = 5,946,723/x
  3. Step 3: Cross multiply
    2,707,677x = 5,946,723 × 5,946,723
  4. Step 4: Simplify right side
    2,707,677x = 35,363,514,438,729
  5. Step 5: Solve for x
    x = 35,363,514,438,729/2,707,677
  6. Step 6: Final answer
    x = 13,060,462.69

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.