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Finding the Third Proportional to 2,190,491 and 4,793,913

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Solution

The third proportional to 2,190,491 and 4,793,913 is: 10,491,529.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,190,491 : 4,793,913 = 4,793,913 : x
  2. Step 2: Convert to fraction form
    2,190,491/4,793,913 = 4,793,913/x
  3. Step 3: Cross multiply
    2,190,491x = 4,793,913 × 4,793,913
  4. Step 4: Simplify right side
    2,190,491x = 22,981,601,851,569
  5. Step 5: Solve for x
    x = 22,981,601,851,569/2,190,491
  6. Step 6: Final answer
    x = 10,491,529.91

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.