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Finding the Third Proportional to 2,814,462 and 5,488,938

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Solution

The third proportional to 2,814,462 and 5,488,938 is: 10,704,866.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,814,462 : 5,488,938 = 5,488,938 : x
  2. Step 2: Convert to fraction form
    2,814,462/5,488,938 = 5,488,938/x
  3. Step 3: Cross multiply
    2,814,462x = 5,488,938 × 5,488,938
  4. Step 4: Simplify right side
    2,814,462x = 30,128,440,367,844
  5. Step 5: Solve for x
    x = 30,128,440,367,844/2,814,462
  6. Step 6: Final answer
    x = 10,704,866.64

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These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.