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Finding the Third Proportional to 565,540 and 1,219,626

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Solution

The third proportional to 565,540 and 1,219,626 is: 2,630,207.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    565,540 : 1,219,626 = 1,219,626 : x
  2. Step 2: Convert to fraction form
    565,540/1,219,626 = 1,219,626/x
  3. Step 3: Cross multiply
    565,540x = 1,219,626 × 1,219,626
  4. Step 4: Simplify right side
    565,540x = 1,487,487,579,876
  5. Step 5: Solve for x
    x = 1,487,487,579,876/565,540
  6. Step 6: Final answer
    x = 2,630,207.55

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.