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Finding the Third Proportional to 1,283,787 and 2,749,743

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Solution

The third proportional to 1,283,787 and 2,749,743 is: 5,889,673.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,283,787 : 2,749,743 = 2,749,743 : x
  2. Step 2: Convert to fraction form
    1,283,787/2,749,743 = 2,749,743/x
  3. Step 3: Cross multiply
    1,283,787x = 2,749,743 × 2,749,743
  4. Step 4: Simplify right side
    1,283,787x = 7,561,086,566,049
  5. Step 5: Solve for x
    x = 7,561,086,566,049/1,283,787
  6. Step 6: Final answer
    x = 5,889,673.73

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.