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Finding the Third Proportional to 890,217 and 1,979,451

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Solution

The third proportional to 890,217 and 1,979,451 is: 4,401,428.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    890,217 : 1,979,451 = 1,979,451 : x
  2. Step 2: Convert to fraction form
    890,217/1,979,451 = 1,979,451/x
  3. Step 3: Cross multiply
    890,217x = 1,979,451 × 1,979,451
  4. Step 4: Simplify right side
    890,217x = 3,918,226,261,401
  5. Step 5: Solve for x
    x = 3,918,226,261,401/890,217
  6. Step 6: Final answer
    x = 4,401,428.26

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.