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Finding the Third Proportional to 480,149 and 1,050,694

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Solution

The third proportional to 480,149 and 1,050,694 is: 2,299,198.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    480,149 : 1,050,694 = 1,050,694 : x
  2. Step 2: Convert to fraction form
    480,149/1,050,694 = 1,050,694/x
  3. Step 3: Cross multiply
    480,149x = 1,050,694 × 1,050,694
  4. Step 4: Simplify right side
    480,149x = 1,103,957,881,636
  5. Step 5: Solve for x
    x = 1,103,957,881,636/480,149
  6. Step 6: Final answer
    x = 2,299,198.54

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.