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Finding the Third Proportional to 3,612,912.75 and 5,283,715.50

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Solution

The third proportional to 3,612,912.75 and 5,283,715.50 is: 7,727,186.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,612,912.75 : 5,283,715.50 = 5,283,715.50 : x
  2. Step 2: Convert to fraction form
    3,612,912.75/5,283,715.50 = 5,283,715.50/x
  3. Step 3: Cross multiply
    3,612,912.75x = 5,283,715.50 × 5,283,715.50
  4. Step 4: Simplify right side
    3,612,912.75x = 27,917,649,484,940.25
  5. Step 5: Solve for x
    x = 27,917,649,484,940.25/3,612,912.75
  6. Step 6: Final answer
    x = 7,727,186.18

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.