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Finding the Third Proportional to 2,171,533 and 4,771,313

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Solution

The third proportional to 2,171,533 and 4,771,313 is: 10,483,574.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,171,533 : 4,771,313 = 4,771,313 : x
  2. Step 2: Convert to fraction form
    2,171,533/4,771,313 = 4,771,313/x
  3. Step 3: Cross multiply
    2,171,533x = 4,771,313 × 4,771,313
  4. Step 4: Simplify right side
    2,171,533x = 22,765,427,743,969
  5. Step 5: Solve for x
    x = 22,765,427,743,969/2,171,533
  6. Step 6: Final answer
    x = 10,483,574.39

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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.