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Finding the Third Proportional to 427,974 and 925,068

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Solution

The third proportional to 427,974 and 925,068 is: 1,999,539.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    427,974 : 925,068 = 925,068 : x
  2. Step 2: Convert to fraction form
    427,974/925,068 = 925,068/x
  3. Step 3: Cross multiply
    427,974x = 925,068 × 925,068
  4. Step 4: Simplify right side
    427,974x = 855,750,804,624
  5. Step 5: Solve for x
    x = 855,750,804,624/427,974
  6. Step 6: Final answer
    x = 1,999,539.24

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.