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Finding the Third Proportional to 4,672,690 and 6,825,306

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Solution

The third proportional to 4,672,690 and 6,825,306 is: 9,969,589.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,672,690 : 6,825,306 = 6,825,306 : x
  2. Step 2: Convert to fraction form
    4,672,690/6,825,306 = 6,825,306/x
  3. Step 3: Cross multiply
    4,672,690x = 6,825,306 × 6,825,306
  4. Step 4: Simplify right side
    4,672,690x = 46,584,801,993,636
  5. Step 5: Solve for x
    x = 46,584,801,993,636/4,672,690
  6. Step 6: Final answer
    x = 9,969,589.68

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.