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Finding the Third Proportional to 949,244 and 2,078,792

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Solution

The third proportional to 949,244 and 2,078,792 is: 4,552,439.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    949,244 : 2,078,792 = 2,078,792 : x
  2. Step 2: Convert to fraction form
    949,244/2,078,792 = 2,078,792/x
  3. Step 3: Cross multiply
    949,244x = 2,078,792 × 2,078,792
  4. Step 4: Simplify right side
    949,244x = 4,321,376,179,264
  5. Step 5: Solve for x
    x = 4,321,376,179,264/949,244
  6. Step 6: Final answer
    x = 4,552,439.81

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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.