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Finding the Third Proportional to 649,818 and 1,351,638

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Solution

The third proportional to 649,818 and 1,351,638 is: 2,811,441.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    649,818 : 1,351,638 = 1,351,638 : x
  2. Step 2: Convert to fraction form
    649,818/1,351,638 = 1,351,638/x
  3. Step 3: Cross multiply
    649,818x = 1,351,638 × 1,351,638
  4. Step 4: Simplify right side
    649,818x = 1,826,925,283,044
  5. Step 5: Solve for x
    x = 1,826,925,283,044/649,818
  6. Step 6: Final answer
    x = 2,811,441.49

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.