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Finding the Third Proportional to 586,908 and 1,286,325

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Solution

The third proportional to 586,908 and 1,286,325 is: 2,819,235.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    586,908 : 1,286,325 = 1,286,325 : x
  2. Step 2: Convert to fraction form
    586,908/1,286,325 = 1,286,325/x
  3. Step 3: Cross multiply
    586,908x = 1,286,325 × 1,286,325
  4. Step 4: Simplify right side
    586,908x = 1,654,632,005,625
  5. Step 5: Solve for x
    x = 1,654,632,005,625/586,908
  6. Step 6: Final answer
    x = 2,819,235.73

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.