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Finding the Third Proportional to 2,198,018 and 4,665,604

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Solution

The third proportional to 2,198,018 and 4,665,604 is: 9,903,404.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,198,018 : 4,665,604 = 4,665,604 : x
  2. Step 2: Convert to fraction form
    2,198,018/4,665,604 = 4,665,604/x
  3. Step 3: Cross multiply
    2,198,018x = 4,665,604 × 4,665,604
  4. Step 4: Simplify right side
    2,198,018x = 21,767,860,684,816
  5. Step 5: Solve for x
    x = 21,767,860,684,816/2,198,018
  6. Step 6: Final answer
    x = 9,903,404.20

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.