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Finding the Third Proportional to 1,270,283.50 and 2,796,446

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Solution

The third proportional to 1,270,283.50 and 2,796,446 is: 6,156,192.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,270,283.50 : 2,796,446 = 2,796,446 : x
  2. Step 2: Convert to fraction form
    1,270,283.50/2,796,446 = 2,796,446/x
  3. Step 3: Cross multiply
    1,270,283.50x = 2,796,446 × 2,796,446
  4. Step 4: Simplify right side
    1,270,283.50x = 7,820,110,230,916
  5. Step 5: Solve for x
    x = 7,820,110,230,916/1,270,283.50
  6. Step 6: Final answer
    x = 6,156,192.87

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.