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Finding the Third Proportional to 2,913,084 and 5,941,824

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Solution

The third proportional to 2,913,084 and 5,941,824 is: 12,119,551.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,913,084 : 5,941,824 = 5,941,824 : x
  2. Step 2: Convert to fraction form
    2,913,084/5,941,824 = 5,941,824/x
  3. Step 3: Cross multiply
    2,913,084x = 5,941,824 × 5,941,824
  4. Step 4: Simplify right side
    2,913,084x = 35,305,272,446,976
  5. Step 5: Solve for x
    x = 35,305,272,446,976/2,913,084
  6. Step 6: Final answer
    x = 12,119,551.80

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.