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Finding the Third Proportional to 949,704.75 and 1,997,824.50

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Solution

The third proportional to 949,704.75 and 1,997,824.50 is: 4,202,677.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    949,704.75 : 1,997,824.50 = 1,997,824.50 : x
  2. Step 2: Convert to fraction form
    949,704.75/1,997,824.50 = 1,997,824.50/x
  3. Step 3: Cross multiply
    949,704.75x = 1,997,824.50 × 1,997,824.50
  4. Step 4: Simplify right side
    949,704.75x = 3,991,302,732,800.25
  5. Step 5: Solve for x
    x = 3,991,302,732,800.25/949,704.75
  6. Step 6: Final answer
    x = 4,202,677.45

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.