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Finding the Third Proportional to 1,346,947 and 2,091,257

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Solution

The third proportional to 1,346,947 and 2,091,257 is: 3,246,865.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,346,947 : 2,091,257 = 2,091,257 : x
  2. Step 2: Convert to fraction form
    1,346,947/2,091,257 = 2,091,257/x
  3. Step 3: Cross multiply
    1,346,947x = 2,091,257 × 2,091,257
  4. Step 4: Simplify right side
    1,346,947x = 4,373,355,840,049
  5. Step 5: Solve for x
    x = 4,373,355,840,049/1,346,947
  6. Step 6: Final answer
    x = 3,246,865.57

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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.