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Finding the Third Proportional to 803,268 and 1,738,780

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Solution

The third proportional to 803,268 and 1,738,780 is: 3,763,819.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    803,268 : 1,738,780 = 1,738,780 : x
  2. Step 2: Convert to fraction form
    803,268/1,738,780 = 1,738,780/x
  3. Step 3: Cross multiply
    803,268x = 1,738,780 × 1,738,780
  4. Step 4: Simplify right side
    803,268x = 3,023,355,888,400
  5. Step 5: Solve for x
    x = 3,023,355,888,400/803,268
  6. Step 6: Final answer
    x = 3,763,819.66

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Why These Related Problems?

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