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Finding the Third Proportional to 976,158.25 and 1,999,883.25

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Solution

The third proportional to 976,158.25 and 1,999,883.25 is: 4,097,217.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    976,158.25 : 1,999,883.25 = 1,999,883.25 : x
  2. Step 2: Convert to fraction form
    976,158.25/1,999,883.25 = 1,999,883.25/x
  3. Step 3: Cross multiply
    976,158.25x = 1,999,883.25 × 1,999,883.25
  4. Step 4: Simplify right side
    976,158.25x = 3,999,533,013,630.56
  5. Step 5: Solve for x
    x = 3,999,533,013,630.56/976,158.25
  6. Step 6: Final answer
    x = 4,097,217.86

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.