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Finding the Third Proportional to 1,733,102.75 and 3,740,227

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Solution

The third proportional to 1,733,102.75 and 3,740,227 is: 8,071,822.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,733,102.75 : 3,740,227 = 3,740,227 : x
  2. Step 2: Convert to fraction form
    1,733,102.75/3,740,227 = 3,740,227/x
  3. Step 3: Cross multiply
    1,733,102.75x = 3,740,227 × 3,740,227
  4. Step 4: Simplify right side
    1,733,102.75x = 13,989,298,011,529
  5. Step 5: Solve for x
    x = 13,989,298,011,529/1,733,102.75
  6. Step 6: Final answer
    x = 8,071,822.64

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.