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Finding the Third Proportional to 984,240 and 2,146,356

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Solution

The third proportional to 984,240 and 2,146,356 is: 4,680,610.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    984,240 : 2,146,356 = 2,146,356 : x
  2. Step 2: Convert to fraction form
    984,240/2,146,356 = 2,146,356/x
  3. Step 3: Cross multiply
    984,240x = 2,146,356 × 2,146,356
  4. Step 4: Simplify right side
    984,240x = 4,606,844,078,736
  5. Step 5: Solve for x
    x = 4,606,844,078,736/984,240
  6. Step 6: Final answer
    x = 4,680,610.50

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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.