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Finding the Third Proportional to 768,405 and 1,234,620

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Solution

The third proportional to 768,405 and 1,234,620 is: 1,983,702.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    768,405 : 1,234,620 = 1,234,620 : x
  2. Step 2: Convert to fraction form
    768,405/1,234,620 = 1,234,620/x
  3. Step 3: Cross multiply
    768,405x = 1,234,620 × 1,234,620
  4. Step 4: Simplify right side
    768,405x = 1,524,286,544,400
  5. Step 5: Solve for x
    x = 1,524,286,544,400/768,405
  6. Step 6: Final answer
    x = 1,983,702.01

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.