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Finding the Third Proportional to 576,704 and 1,265,674

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Solution

The third proportional to 576,704 and 1,265,674 is: 2,777,734.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    576,704 : 1,265,674 = 1,265,674 : x
  2. Step 2: Convert to fraction form
    576,704/1,265,674 = 1,265,674/x
  3. Step 3: Cross multiply
    576,704x = 1,265,674 × 1,265,674
  4. Step 4: Simplify right side
    576,704x = 1,601,930,674,276
  5. Step 5: Solve for x
    x = 1,601,930,674,276/576,704
  6. Step 6: Final answer
    x = 2,777,734.63

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.