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Finding the Third Proportional to 588,097 and 1,275,767

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Solution

The third proportional to 588,097 and 1,275,767 is: 2,767,539.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    588,097 : 1,275,767 = 1,275,767 : x
  2. Step 2: Convert to fraction form
    588,097/1,275,767 = 1,275,767/x
  3. Step 3: Cross multiply
    588,097x = 1,275,767 × 1,275,767
  4. Step 4: Simplify right side
    588,097x = 1,627,581,438,289
  5. Step 5: Solve for x
    x = 1,627,581,438,289/588,097
  6. Step 6: Final answer
    x = 2,767,539.09

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.