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Finding the Third Proportional to 1,285,122.25 and 2,822,487

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Solution

The third proportional to 1,285,122.25 and 2,822,487 is: 6,198,968.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,285,122.25 : 2,822,487 = 2,822,487 : x
  2. Step 2: Convert to fraction form
    1,285,122.25/2,822,487 = 2,822,487/x
  3. Step 3: Cross multiply
    1,285,122.25x = 2,822,487 × 2,822,487
  4. Step 4: Simplify right side
    1,285,122.25x = 7,966,432,865,169
  5. Step 5: Solve for x
    x = 7,966,432,865,169/1,285,122.25
  6. Step 6: Final answer
    x = 6,198,968.90

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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.