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Finding the Third Proportional to 610,443 and 1,322,580

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Solution

The third proportional to 610,443 and 1,322,580 is: 2,865,489.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    610,443 : 1,322,580 = 1,322,580 : x
  2. Step 2: Convert to fraction form
    610,443/1,322,580 = 1,322,580/x
  3. Step 3: Cross multiply
    610,443x = 1,322,580 × 1,322,580
  4. Step 4: Simplify right side
    610,443x = 1,749,217,856,400
  5. Step 5: Solve for x
    x = 1,749,217,856,400/610,443
  6. Step 6: Final answer
    x = 2,865,489.25

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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.