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Finding the Third Proportional to 656,659 and 1,437,873

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Solution

The third proportional to 656,659 and 1,437,873 is: 3,148,481.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    656,659 : 1,437,873 = 1,437,873 : x
  2. Step 2: Convert to fraction form
    656,659/1,437,873 = 1,437,873/x
  3. Step 3: Cross multiply
    656,659x = 1,437,873 × 1,437,873
  4. Step 4: Simplify right side
    656,659x = 2,067,478,764,129
  5. Step 5: Solve for x
    x = 2,067,478,764,129/656,659
  6. Step 6: Final answer
    x = 3,148,481.58

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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.