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Finding the Third Proportional to 938,974 and 2,023,748

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Solution

The third proportional to 938,974 and 2,023,748 is: 4,361,735.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    938,974 : 2,023,748 = 2,023,748 : x
  2. Step 2: Convert to fraction form
    938,974/2,023,748 = 2,023,748/x
  3. Step 3: Cross multiply
    938,974x = 2,023,748 × 2,023,748
  4. Step 4: Simplify right side
    938,974x = 4,095,555,967,504
  5. Step 5: Solve for x
    x = 4,095,555,967,504/938,974
  6. Step 6: Final answer
    x = 4,361,735.22

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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.