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Finding the Third Proportional to 921,772 and 1,917,120

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Solution

The third proportional to 921,772 and 1,917,120 is: 3,987,264.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    921,772 : 1,917,120 = 1,917,120 : x
  2. Step 2: Convert to fraction form
    921,772/1,917,120 = 1,917,120/x
  3. Step 3: Cross multiply
    921,772x = 1,917,120 × 1,917,120
  4. Step 4: Simplify right side
    921,772x = 3,675,349,094,400
  5. Step 5: Solve for x
    x = 3,675,349,094,400/921,772
  6. Step 6: Final answer
    x = 3,987,264.85

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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.