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Finding the Third Proportional to 2,171,459 and 4,771,206

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Solution

The third proportional to 2,171,459 and 4,771,206 is: 10,483,461.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,171,459 : 4,771,206 = 4,771,206 : x
  2. Step 2: Convert to fraction form
    2,171,459/4,771,206 = 4,771,206/x
  3. Step 3: Cross multiply
    2,171,459x = 4,771,206 × 4,771,206
  4. Step 4: Simplify right side
    2,171,459x = 22,764,406,694,436
  5. Step 5: Solve for x
    x = 22,764,406,694,436/2,171,459
  6. Step 6: Final answer
    x = 10,483,461.44

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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.