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Finding the Third Proportional to 889,723 and 2,099,418

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Solution

The third proportional to 889,723 and 2,099,418 is: 4,953,851.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    889,723 : 2,099,418 = 2,099,418 : x
  2. Step 2: Convert to fraction form
    889,723/2,099,418 = 2,099,418/x
  3. Step 3: Cross multiply
    889,723x = 2,099,418 × 2,099,418
  4. Step 4: Simplify right side
    889,723x = 4,407,555,938,724
  5. Step 5: Solve for x
    x = 4,407,555,938,724/889,723
  6. Step 6: Final answer
    x = 4,953,851.86

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.