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Finding the Third Proportional to 2,099,239 and 4,578,331

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Solution

The third proportional to 2,099,239 and 4,578,331 is: 9,985,101.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,099,239 : 4,578,331 = 4,578,331 : x
  2. Step 2: Convert to fraction form
    2,099,239/4,578,331 = 4,578,331/x
  3. Step 3: Cross multiply
    2,099,239x = 4,578,331 × 4,578,331
  4. Step 4: Simplify right side
    2,099,239x = 20,961,114,745,561
  5. Step 5: Solve for x
    x = 20,961,114,745,561/2,099,239
  6. Step 6: Final answer
    x = 9,985,101.62

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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.