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Finding the Third Proportional to 1,706,233.50 and 3,713,757

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Solution

The third proportional to 1,706,233.50 and 3,713,757 is: 8,083,296.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,706,233.50 : 3,713,757 = 3,713,757 : x
  2. Step 2: Convert to fraction form
    1,706,233.50/3,713,757 = 3,713,757/x
  3. Step 3: Cross multiply
    1,706,233.50x = 3,713,757 × 3,713,757
  4. Step 4: Simplify right side
    1,706,233.50x = 13,791,991,055,049
  5. Step 5: Solve for x
    x = 13,791,991,055,049/1,706,233.50
  6. Step 6: Final answer
    x = 8,083,296.37

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.