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Finding the Third Proportional to 902,380.50 and 2,006,500.50

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Solution

The third proportional to 902,380.50 and 2,006,500.50 is: 4,461,581.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    902,380.50 : 2,006,500.50 = 2,006,500.50 : x
  2. Step 2: Convert to fraction form
    902,380.50/2,006,500.50 = 2,006,500.50/x
  3. Step 3: Cross multiply
    902,380.50x = 2,006,500.50 × 2,006,500.50
  4. Step 4: Simplify right side
    902,380.50x = 4,026,044,256,500.25
  5. Step 5: Solve for x
    x = 4,026,044,256,500.25/902,380.50
  6. Step 6: Final answer
    x = 4,461,581.62

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.