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Finding the Third Proportional to 484,911.56 and 1,053,759.38

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Solution

The third proportional to 484,911.56 and 1,053,759.38 is: 2,289,920.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    484,911.56 : 1,053,759.38 = 1,053,759.38 : x
  2. Step 2: Convert to fraction form
    484,911.56/1,053,759.38 = 1,053,759.38/x
  3. Step 3: Cross multiply
    484,911.56x = 1,053,759.38 × 1,053,759.38
  4. Step 4: Simplify right side
    484,911.56x = 1,110,408,820,400.39
  5. Step 5: Solve for x
    x = 1,110,408,820,400.39/484,911.56
  6. Step 6: Final answer
    x = 2,289,920.28

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.