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Finding the Third Proportional to 2,661,786 and 5,655,791

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Solution

The third proportional to 2,661,786 and 5,655,791 is: 12,017,484.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,661,786 : 5,655,791 = 5,655,791 : x
  2. Step 2: Convert to fraction form
    2,661,786/5,655,791 = 5,655,791/x
  3. Step 3: Cross multiply
    2,661,786x = 5,655,791 × 5,655,791
  4. Step 4: Simplify right side
    2,661,786x = 31,987,971,835,681
  5. Step 5: Solve for x
    x = 31,987,971,835,681/2,661,786
  6. Step 6: Final answer
    x = 12,017,484.44

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.