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Finding the Third Proportional to 810,284.50 and 1,738,302.50

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Solution

The third proportional to 810,284.50 and 1,738,302.50 is: 3,729,178.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    810,284.50 : 1,738,302.50 = 1,738,302.50 : x
  2. Step 2: Convert to fraction form
    810,284.50/1,738,302.50 = 1,738,302.50/x
  3. Step 3: Cross multiply
    810,284.50x = 1,738,302.50 × 1,738,302.50
  4. Step 4: Simplify right side
    810,284.50x = 3,021,695,581,506.25
  5. Step 5: Solve for x
    x = 3,021,695,581,506.25/810,284.50
  6. Step 6: Final answer
    x = 3,729,178.56

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.