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Finding the Third Proportional to 947,902.50 and 2,029,212

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Solution

The third proportional to 947,902.50 and 2,029,212 is: 4,344,013.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    947,902.50 : 2,029,212 = 2,029,212 : x
  2. Step 2: Convert to fraction form
    947,902.50/2,029,212 = 2,029,212/x
  3. Step 3: Cross multiply
    947,902.50x = 2,029,212 × 2,029,212
  4. Step 4: Simplify right side
    947,902.50x = 4,117,701,340,944
  5. Step 5: Solve for x
    x = 4,117,701,340,944/947,902.50
  6. Step 6: Final answer
    x = 4,344,013.59

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.