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Finding the Third Proportional to 2,199,168 and 4,634,496

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Solution

The third proportional to 2,199,168 and 4,634,496 is: 9,766,672.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,199,168 : 4,634,496 = 4,634,496 : x
  2. Step 2: Convert to fraction form
    2,199,168/4,634,496 = 4,634,496/x
  3. Step 3: Cross multiply
    2,199,168x = 4,634,496 × 4,634,496
  4. Step 4: Simplify right side
    2,199,168x = 21,478,553,174,016
  5. Step 5: Solve for x
    x = 21,478,553,174,016/2,199,168
  6. Step 6: Final answer
    x = 9,766,672.29

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These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.