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Finding the Third Proportional to 2,171,464 and 4,771,215

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Solution

The third proportional to 2,171,464 and 4,771,215 is: 10,483,476.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,171,464 : 4,771,215 = 4,771,215 : x
  2. Step 2: Convert to fraction form
    2,171,464/4,771,215 = 4,771,215/x
  3. Step 3: Cross multiply
    2,171,464x = 4,771,215 × 4,771,215
  4. Step 4: Simplify right side
    2,171,464x = 22,764,492,576,225
  5. Step 5: Solve for x
    x = 22,764,492,576,225/2,171,464
  6. Step 6: Final answer
    x = 10,483,476.85

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.