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Finding the Third Proportional to 2,538,216 and 4,166,670.38

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Solution

The third proportional to 2,538,216 and 4,166,670.38 is: 6,839,899.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,538,216 : 4,166,670.38 = 4,166,670.38 : x
  2. Step 2: Convert to fraction form
    2,538,216/4,166,670.38 = 4,166,670.38/x
  3. Step 3: Cross multiply
    2,538,216x = 4,166,670.38 × 4,166,670.38
  4. Step 4: Simplify right side
    2,538,216x = 17,361,142,013,902.64
  5. Step 5: Solve for x
    x = 17,361,142,013,902.64/2,538,216
  6. Step 6: Final answer
    x = 6,839,899.37

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Why These Related Problems?

These problems maintain the same ratio (1.64) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.