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Finding the Third Proportional to 2,005,202.25 and 4,175,642.81

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Solution

The third proportional to 2,005,202.25 and 4,175,642.81 is: 8,695,378.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,005,202.25 : 4,175,642.81 = 4,175,642.81 : x
  2. Step 2: Convert to fraction form
    2,005,202.25/4,175,642.81 = 4,175,642.81/x
  3. Step 3: Cross multiply
    2,005,202.25x = 4,175,642.81 × 4,175,642.81
  4. Step 4: Simplify right side
    2,005,202.25x = 17,435,992,897,582.91
  5. Step 5: Solve for x
    x = 17,435,992,897,582.91/2,005,202.25
  6. Step 6: Final answer
    x = 8,695,378.68

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