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Finding the Third Proportional to 1,167,066 and 2,533,311

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Solution

The third proportional to 1,167,066 and 2,533,311 is: 5,498,973.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,167,066 : 2,533,311 = 2,533,311 : x
  2. Step 2: Convert to fraction form
    1,167,066/2,533,311 = 2,533,311/x
  3. Step 3: Cross multiply
    1,167,066x = 2,533,311 × 2,533,311
  4. Step 4: Simplify right side
    1,167,066x = 6,417,664,622,721
  5. Step 5: Solve for x
    x = 6,417,664,622,721/1,167,066
  6. Step 6: Final answer
    x = 5,498,973.17

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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.