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Finding the Third Proportional to 2,098,661.91 and 4,449,542.63

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Solution

The third proportional to 2,098,661.91 and 4,449,542.63 is: 9,433,834.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,098,661.91 : 4,449,542.63 = 4,449,542.63 : x
  2. Step 2: Convert to fraction form
    2,098,661.91/4,449,542.63 = 4,449,542.63/x
  3. Step 3: Cross multiply
    2,098,661.91x = 4,449,542.63 × 4,449,542.63
  4. Step 4: Simplify right side
    2,098,661.91x = 19,798,429,571,691.89
  5. Step 5: Solve for x
    x = 19,798,429,571,691.89/2,098,661.91
  6. Step 6: Final answer
    x = 9,433,834.73

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.