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Finding the Third Proportional to 2,898,181 and 6,356,234

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Solution

The third proportional to 2,898,181 and 6,356,234 is: 13,940,368.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,898,181 : 6,356,234 = 6,356,234 : x
  2. Step 2: Convert to fraction form
    2,898,181/6,356,234 = 6,356,234/x
  3. Step 3: Cross multiply
    2,898,181x = 6,356,234 × 6,356,234
  4. Step 4: Simplify right side
    2,898,181x = 40,401,710,662,756
  5. Step 5: Solve for x
    x = 40,401,710,662,756/2,898,181
  6. Step 6: Final answer
    x = 13,940,368.34

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.