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Finding the Third Proportional to 606,438 and 1,286,814

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Solution

The third proportional to 606,438 and 1,286,814 is: 2,730,518.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    606,438 : 1,286,814 = 1,286,814 : x
  2. Step 2: Convert to fraction form
    606,438/1,286,814 = 1,286,814/x
  3. Step 3: Cross multiply
    606,438x = 1,286,814 × 1,286,814
  4. Step 4: Simplify right side
    606,438x = 1,655,890,270,596
  5. Step 5: Solve for x
    x = 1,655,890,270,596/606,438
  6. Step 6: Final answer
    x = 2,730,518.65

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.