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Finding the Third Proportional to 574,659 and 1,165,733

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Solution

The third proportional to 574,659 and 1,165,733 is: 2,364,764.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    574,659 : 1,165,733 = 1,165,733 : x
  2. Step 2: Convert to fraction form
    574,659/1,165,733 = 1,165,733/x
  3. Step 3: Cross multiply
    574,659x = 1,165,733 × 1,165,733
  4. Step 4: Simplify right side
    574,659x = 1,358,933,427,289
  5. Step 5: Solve for x
    x = 1,358,933,427,289/574,659
  6. Step 6: Final answer
    x = 2,364,764.89

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.