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Finding the Third Proportional to 2,625,196.50 and 4,286,682

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Solution

The third proportional to 2,625,196.50 and 4,286,682 is: 6,999,720.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,625,196.50 : 4,286,682 = 4,286,682 : x
  2. Step 2: Convert to fraction form
    2,625,196.50/4,286,682 = 4,286,682/x
  3. Step 3: Cross multiply
    2,625,196.50x = 4,286,682 × 4,286,682
  4. Step 4: Simplify right side
    2,625,196.50x = 18,375,642,569,124
  5. Step 5: Solve for x
    x = 18,375,642,569,124/2,625,196.50
  6. Step 6: Final answer
    x = 6,999,720.81

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Why These Related Problems?

These problems maintain the same ratio (1.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.