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Finding the Third Proportional to 588,091 and 1,275,758

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Solution

The third proportional to 588,091 and 1,275,758 is: 2,767,528.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    588,091 : 1,275,758 = 1,275,758 : x
  2. Step 2: Convert to fraction form
    588,091/1,275,758 = 1,275,758/x
  3. Step 3: Cross multiply
    588,091x = 1,275,758 × 1,275,758
  4. Step 4: Simplify right side
    588,091x = 1,627,558,474,564
  5. Step 5: Solve for x
    x = 1,627,558,474,564/588,091
  6. Step 6: Final answer
    x = 2,767,528.28

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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.