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Finding the Third Proportional to 605,194 and 879,414

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Solution

The third proportional to 605,194 and 879,414 is: 1,277,886.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    605,194 : 879,414 = 879,414 : x
  2. Step 2: Convert to fraction form
    605,194/879,414 = 879,414/x
  3. Step 3: Cross multiply
    605,194x = 879,414 × 879,414
  4. Step 4: Simplify right side
    605,194x = 773,368,983,396
  5. Step 5: Solve for x
    x = 773,368,983,396/605,194
  6. Step 6: Final answer
    x = 1,277,886.07

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.