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Finding the Third Proportional to 1,954,454 and 2,989,809

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Solution

The third proportional to 1,954,454 and 2,989,809 is: 4,573,634.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,954,454 : 2,989,809 = 2,989,809 : x
  2. Step 2: Convert to fraction form
    1,954,454/2,989,809 = 2,989,809/x
  3. Step 3: Cross multiply
    1,954,454x = 2,989,809 × 2,989,809
  4. Step 4: Simplify right side
    1,954,454x = 8,938,957,856,481
  5. Step 5: Solve for x
    x = 8,938,957,856,481/1,954,454
  6. Step 6: Final answer
    x = 4,573,634.30

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.