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Finding the Third Proportional to 1,733,101.75 and 3,740,225

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Solution

The third proportional to 1,733,101.75 and 3,740,225 is: 8,071,818.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,733,101.75 : 3,740,225 = 3,740,225 : x
  2. Step 2: Convert to fraction form
    1,733,101.75/3,740,225 = 3,740,225/x
  3. Step 3: Cross multiply
    1,733,101.75x = 3,740,225 × 3,740,225
  4. Step 4: Simplify right side
    1,733,101.75x = 13,989,283,050,625
  5. Step 5: Solve for x
    x = 13,989,283,050,625/1,733,101.75
  6. Step 6: Final answer
    x = 8,071,818.66

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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.