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Finding the Third Proportional to 600,836 and 1,286,962

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Solution

The third proportional to 600,836 and 1,286,962 is: 2,756,611.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    600,836 : 1,286,962 = 1,286,962 : x
  2. Step 2: Convert to fraction form
    600,836/1,286,962 = 1,286,962/x
  3. Step 3: Cross multiply
    600,836x = 1,286,962 × 1,286,962
  4. Step 4: Simplify right side
    600,836x = 1,656,271,189,444
  5. Step 5: Solve for x
    x = 1,656,271,189,444/600,836
  6. Step 6: Final answer
    x = 2,756,611.10

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.