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Finding the Third Proportional to 971,146.50 and 1,980,844.50

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Solution

The third proportional to 971,146.50 and 1,980,844.50 is: 4,040,322.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    971,146.50 : 1,980,844.50 = 1,980,844.50 : x
  2. Step 2: Convert to fraction form
    971,146.50/1,980,844.50 = 1,980,844.50/x
  3. Step 3: Cross multiply
    971,146.50x = 1,980,844.50 × 1,980,844.50
  4. Step 4: Simplify right side
    971,146.50x = 3,923,744,933,180.25
  5. Step 5: Solve for x
    x = 3,923,744,933,180.25/971,146.50
  6. Step 6: Final answer
    x = 4,040,322.37

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.