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Finding the Third Proportional to 609,570 and 966,023

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Solution

The third proportional to 609,570 and 966,023 is: 1,530,915.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    609,570 : 966,023 = 966,023 : x
  2. Step 2: Convert to fraction form
    609,570/966,023 = 966,023/x
  3. Step 3: Cross multiply
    609,570x = 966,023 × 966,023
  4. Step 4: Simplify right side
    609,570x = 933,200,436,529
  5. Step 5: Solve for x
    x = 933,200,436,529/609,570
  6. Step 6: Final answer
    x = 1,530,915.95

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.