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Finding the Third Proportional to 600,834 and 1,286,964

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Solution

The third proportional to 600,834 and 1,286,964 is: 2,756,628.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    600,834 : 1,286,964 = 1,286,964 : x
  2. Step 2: Convert to fraction form
    600,834/1,286,964 = 1,286,964/x
  3. Step 3: Cross multiply
    600,834x = 1,286,964 × 1,286,964
  4. Step 4: Simplify right side
    600,834x = 1,656,276,337,296
  5. Step 5: Solve for x
    x = 1,656,276,337,296/600,834
  6. Step 6: Final answer
    x = 2,756,628.85

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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.