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Finding the Third Proportional to 625,396 and 969,638

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Solution

The third proportional to 625,396 and 969,638 is: 1,503,364.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    625,396 : 969,638 = 969,638 : x
  2. Step 2: Convert to fraction form
    625,396/969,638 = 969,638/x
  3. Step 3: Cross multiply
    625,396x = 969,638 × 969,638
  4. Step 4: Simplify right side
    625,396x = 940,197,851,044
  5. Step 5: Solve for x
    x = 940,197,851,044/625,396
  6. Step 6: Final answer
    x = 1,503,364.03

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.