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Finding the Third Proportional to 878,268 and 1,958,478

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Solution

The third proportional to 878,268 and 1,958,478 is: 4,367,272.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    878,268 : 1,958,478 = 1,958,478 : x
  2. Step 2: Convert to fraction form
    878,268/1,958,478 = 1,958,478/x
  3. Step 3: Cross multiply
    878,268x = 1,958,478 × 1,958,478
  4. Step 4: Simplify right side
    878,268x = 3,835,636,076,484
  5. Step 5: Solve for x
    x = 3,835,636,076,484/878,268
  6. Step 6: Final answer
    x = 4,367,272.95

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.