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Finding the Third Proportional to 832,367 and 1,246,271

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Solution

The third proportional to 832,367 and 1,246,271 is: 1,865,993.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    832,367 : 1,246,271 = 1,246,271 : x
  2. Step 2: Convert to fraction form
    832,367/1,246,271 = 1,246,271/x
  3. Step 3: Cross multiply
    832,367x = 1,246,271 × 1,246,271
  4. Step 4: Simplify right side
    832,367x = 1,553,191,405,441
  5. Step 5: Solve for x
    x = 1,553,191,405,441/832,367
  6. Step 6: Final answer
    x = 1,865,993.49

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.