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Finding the Third Proportional to 3,194,919 and 4,825,642.50

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Solution

The third proportional to 3,194,919 and 4,825,642.50 is: 7,288,706.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,194,919 : 4,825,642.50 = 4,825,642.50 : x
  2. Step 2: Convert to fraction form
    3,194,919/4,825,642.50 = 4,825,642.50/x
  3. Step 3: Cross multiply
    3,194,919x = 4,825,642.50 × 4,825,642.50
  4. Step 4: Simplify right side
    3,194,919x = 23,286,825,537,806.25
  5. Step 5: Solve for x
    x = 23,286,825,537,806.25/3,194,919
  6. Step 6: Final answer
    x = 7,288,706.08

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.