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Finding the Third Proportional to 2,243,803 and 4,893,734

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Solution

The third proportional to 2,243,803 and 4,893,734 is: 10,673,233.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,243,803 : 4,893,734 = 4,893,734 : x
  2. Step 2: Convert to fraction form
    2,243,803/4,893,734 = 4,893,734/x
  3. Step 3: Cross multiply
    2,243,803x = 4,893,734 × 4,893,734
  4. Step 4: Simplify right side
    2,243,803x = 23,948,632,462,756
  5. Step 5: Solve for x
    x = 23,948,632,462,756/2,243,803
  6. Step 6: Final answer
    x = 10,673,233.11

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.