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Finding the Third Proportional to 2,441,475 and 5,303,259

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Solution

The third proportional to 2,441,475 and 5,303,259 is: 11,519,493.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,441,475 : 5,303,259 = 5,303,259 : x
  2. Step 2: Convert to fraction form
    2,441,475/5,303,259 = 5,303,259/x
  3. Step 3: Cross multiply
    2,441,475x = 5,303,259 × 5,303,259
  4. Step 4: Simplify right side
    2,441,475x = 28,124,556,021,081
  5. Step 5: Solve for x
    x = 28,124,556,021,081/2,441,475
  6. Step 6: Final answer
    x = 11,519,493.76

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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.