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Finding the Third Proportional to 2,783,753 and 5,822,029

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Solution

The third proportional to 2,783,753 and 5,822,029 is: 12,176,375.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,783,753 : 5,822,029 = 5,822,029 : x
  2. Step 2: Convert to fraction form
    2,783,753/5,822,029 = 5,822,029/x
  3. Step 3: Cross multiply
    2,783,753x = 5,822,029 × 5,822,029
  4. Step 4: Simplify right side
    2,783,753x = 33,896,021,676,841
  5. Step 5: Solve for x
    x = 33,896,021,676,841/2,783,753
  6. Step 6: Final answer
    x = 12,176,375.45

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.