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Finding the Third Proportional to 2,171,536 and 4,771,318

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Solution

The third proportional to 2,171,536 and 4,771,318 is: 10,483,581.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,171,536 : 4,771,318 = 4,771,318 : x
  2. Step 2: Convert to fraction form
    2,171,536/4,771,318 = 4,771,318/x
  3. Step 3: Cross multiply
    2,171,536x = 4,771,318 × 4,771,318
  4. Step 4: Simplify right side
    2,171,536x = 22,765,475,457,124
  5. Step 5: Solve for x
    x = 22,765,475,457,124/2,171,536
  6. Step 6: Final answer
    x = 10,483,581.88

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Why These Related Problems?

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