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Finding the Third Proportional to 718,882 and 1,538,749

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Solution

The third proportional to 718,882 and 1,538,749 is: 3,293,653.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    718,882 : 1,538,749 = 1,538,749 : x
  2. Step 2: Convert to fraction form
    718,882/1,538,749 = 1,538,749/x
  3. Step 3: Cross multiply
    718,882x = 1,538,749 × 1,538,749
  4. Step 4: Simplify right side
    718,882x = 2,367,748,485,001
  5. Step 5: Solve for x
    x = 2,367,748,485,001/718,882
  6. Step 6: Final answer
    x = 3,293,653.88

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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.