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Finding the Third Proportional to 2,198,347.91 and 4,843,943.02

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Solution

The third proportional to 2,198,347.91 and 4,843,943.02 is: 10,673,371.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,198,347.91 : 4,843,943.02 = 4,843,943.02 : x
  2. Step 2: Convert to fraction form
    2,198,347.91/4,843,943.02 = 4,843,943.02/x
  3. Step 3: Cross multiply
    2,198,347.91x = 4,843,943.02 × 4,843,943.02
  4. Step 4: Simplify right side
    2,198,347.91x = 23,463,783,938,622.22
  5. Step 5: Solve for x
    x = 23,463,783,938,622.22/2,198,347.91
  6. Step 6: Final answer
    x = 10,673,371.50

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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.