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Finding the Third Proportional to 1,167,067 and 2,533,313

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Solution

The third proportional to 1,167,067 and 2,533,313 is: 5,498,977.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,167,067 : 2,533,313 = 2,533,313 : x
  2. Step 2: Convert to fraction form
    1,167,067/2,533,313 = 2,533,313/x
  3. Step 3: Cross multiply
    1,167,067x = 2,533,313 × 2,533,313
  4. Step 4: Simplify right side
    1,167,067x = 6,417,674,755,969
  5. Step 5: Solve for x
    x = 6,417,674,755,969/1,167,067
  6. Step 6: Final answer
    x = 5,498,977.14

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.