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Finding the Third Proportional to 921,774 and 1,917,124

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Solution

The third proportional to 921,774 and 1,917,124 is: 3,987,272.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    921,774 : 1,917,124 = 1,917,124 : x
  2. Step 2: Convert to fraction form
    921,774/1,917,124 = 1,917,124/x
  3. Step 3: Cross multiply
    921,774x = 1,917,124 × 1,917,124
  4. Step 4: Simplify right side
    921,774x = 3,675,364,431,376
  5. Step 5: Solve for x
    x = 3,675,364,431,376/921,774
  6. Step 6: Final answer
    x = 3,987,272.84

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.