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Finding the Third Proportional to 2,829,694.50 and 4,000,101.75

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Solution

The third proportional to 2,829,694.50 and 4,000,101.75 is: 5,654,608.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,829,694.50 : 4,000,101.75 = 4,000,101.75 : x
  2. Step 2: Convert to fraction form
    2,829,694.50/4,000,101.75 = 4,000,101.75/x
  3. Step 3: Cross multiply
    2,829,694.50x = 4,000,101.75 × 4,000,101.75
  4. Step 4: Simplify right side
    2,829,694.50x = 16,000,814,010,353.06
  5. Step 5: Solve for x
    x = 16,000,814,010,353.06/2,829,694.50
  6. Step 6: Final answer
    x = 5,654,608.30

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.