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Finding the Third Proportional to 902,380.50 and 1,926,564.75

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Solution

The third proportional to 902,380.50 and 1,926,564.75 is: 4,113,178.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    902,380.50 : 1,926,564.75 = 1,926,564.75 : x
  2. Step 2: Convert to fraction form
    902,380.50/1,926,564.75 = 1,926,564.75/x
  3. Step 3: Cross multiply
    902,380.50x = 1,926,564.75 × 1,926,564.75
  4. Step 4: Simplify right side
    902,380.50x = 3,711,651,735,942.56
  5. Step 5: Solve for x
    x = 3,711,651,735,942.56/902,380.50
  6. Step 6: Final answer
    x = 4,113,178.13

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.