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Finding the Third Proportional to 979,822 and 2,099,612

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Solution

The third proportional to 979,822 and 2,099,612 is: 4,499,154.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    979,822 : 2,099,612 = 2,099,612 : x
  2. Step 2: Convert to fraction form
    979,822/2,099,612 = 2,099,612/x
  3. Step 3: Cross multiply
    979,822x = 2,099,612 × 2,099,612
  4. Step 4: Simplify right side
    979,822x = 4,408,370,550,544
  5. Step 5: Solve for x
    x = 4,408,370,550,544/979,822
  6. Step 6: Final answer
    x = 4,499,154.49

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.