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Finding the Third Proportional to 2,249,144 and 3,205,435

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Solution

The third proportional to 2,249,144 and 3,205,435 is: 4,568,321.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,249,144 : 3,205,435 = 3,205,435 : x
  2. Step 2: Convert to fraction form
    2,249,144/3,205,435 = 3,205,435/x
  3. Step 3: Cross multiply
    2,249,144x = 3,205,435 × 3,205,435
  4. Step 4: Simplify right side
    2,249,144x = 10,274,813,539,225
  5. Step 5: Solve for x
    x = 10,274,813,539,225/2,249,144
  6. Step 6: Final answer
    x = 4,568,321.79

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.