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Finding the Third Proportional to 3,214,919 and 4,973,552

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Solution

The third proportional to 3,214,919 and 4,973,552 is: 7,694,196.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,214,919 : 4,973,552 = 4,973,552 : x
  2. Step 2: Convert to fraction form
    3,214,919/4,973,552 = 4,973,552/x
  3. Step 3: Cross multiply
    3,214,919x = 4,973,552 × 4,973,552
  4. Step 4: Simplify right side
    3,214,919x = 24,736,219,496,704
  5. Step 5: Solve for x
    x = 24,736,219,496,704/3,214,919
  6. Step 6: Final answer
    x = 7,694,196.80

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.