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Finding the Third Proportional to 2,749,434 and 6,036,816

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Solution

The third proportional to 2,749,434 and 6,036,816 is: 13,254,781.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,749,434 : 6,036,816 = 6,036,816 : x
  2. Step 2: Convert to fraction form
    2,749,434/6,036,816 = 6,036,816/x
  3. Step 3: Cross multiply
    2,749,434x = 6,036,816 × 6,036,816
  4. Step 4: Simplify right side
    2,749,434x = 36,443,147,417,856
  5. Step 5: Solve for x
    x = 36,443,147,417,856/2,749,434
  6. Step 6: Final answer
    x = 13,254,781.68

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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.