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Finding the Third Proportional to 840,736 and 1,844,984

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Solution

The third proportional to 840,736 and 1,844,984 is: 4,048,792.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    840,736 : 1,844,984 = 1,844,984 : x
  2. Step 2: Convert to fraction form
    840,736/1,844,984 = 1,844,984/x
  3. Step 3: Cross multiply
    840,736x = 1,844,984 × 1,844,984
  4. Step 4: Simplify right side
    840,736x = 3,403,965,960,256
  5. Step 5: Solve for x
    x = 3,403,965,960,256/840,736
  6. Step 6: Final answer
    x = 4,048,792.92

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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.