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Finding the Third Proportional to 2,005,197.94 and 4,175,635.88

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Solution

The third proportional to 2,005,197.94 and 4,175,635.88 is: 8,695,368.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,005,197.94 : 4,175,635.88 = 4,175,635.88 : x
  2. Step 2: Convert to fraction form
    2,005,197.94/4,175,635.88 = 4,175,635.88/x
  3. Step 3: Cross multiply
    2,005,197.94x = 4,175,635.88 × 4,175,635.88
  4. Step 4: Simplify right side
    2,005,197.94x = 17,435,934,960,587.02
  5. Step 5: Solve for x
    x = 17,435,934,960,587.02/2,005,197.94
  6. Step 6: Final answer
    x = 8,695,368.49

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.