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Finding the Third Proportional to 3,857,175 and 5,670,542.25

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Solution

The third proportional to 3,857,175 and 5,670,542.25 is: 8,336,424.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,857,175 : 5,670,542.25 = 5,670,542.25 : x
  2. Step 2: Convert to fraction form
    3,857,175/5,670,542.25 = 5,670,542.25/x
  3. Step 3: Cross multiply
    3,857,175x = 5,670,542.25 × 5,670,542.25
  4. Step 4: Simplify right side
    3,857,175x = 32,155,049,409,035.06
  5. Step 5: Solve for x
    x = 32,155,049,409,035.06/3,857,175
  6. Step 6: Final answer
    x = 8,336,424.82

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.