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Finding the Third Proportional to 601,729 and 1,321,561

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Solution

The third proportional to 601,729 and 1,321,561 is: 2,902,508.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    601,729 : 1,321,561 = 1,321,561 : x
  2. Step 2: Convert to fraction form
    601,729/1,321,561 = 1,321,561/x
  3. Step 3: Cross multiply
    601,729x = 1,321,561 × 1,321,561
  4. Step 4: Simplify right side
    601,729x = 1,746,523,476,721
  5. Step 5: Solve for x
    x = 1,746,523,476,721/601,729
  6. Step 6: Final answer
    x = 2,902,508.40

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.