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Finding the Third Proportional to 921,659 and 2,005,087

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Solution

The third proportional to 921,659 and 2,005,087 is: 4,362,105.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    921,659 : 2,005,087 = 2,005,087 : x
  2. Step 2: Convert to fraction form
    921,659/2,005,087 = 2,005,087/x
  3. Step 3: Cross multiply
    921,659x = 2,005,087 × 2,005,087
  4. Step 4: Simplify right side
    921,659x = 4,020,373,877,569
  5. Step 5: Solve for x
    x = 4,020,373,877,569/921,659
  6. Step 6: Final answer
    x = 4,362,105.59

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.