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Finding the Third Proportional to 2,289,119 and 4,976,413

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Solution

The third proportional to 2,289,119 and 4,976,413 is: 10,818,435.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,289,119 : 4,976,413 = 4,976,413 : x
  2. Step 2: Convert to fraction form
    2,289,119/4,976,413 = 4,976,413/x
  3. Step 3: Cross multiply
    2,289,119x = 4,976,413 × 4,976,413
  4. Step 4: Simplify right side
    2,289,119x = 24,764,686,346,569
  5. Step 5: Solve for x
    x = 24,764,686,346,569/2,289,119
  6. Step 6: Final answer
    x = 10,818,435.54

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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.