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Finding the Third Proportional to 1,167,704 and 1,759,906

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Solution

The third proportional to 1,167,704 and 1,759,906 is: 2,652,443.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,167,704 : 1,759,906 = 1,759,906 : x
  2. Step 2: Convert to fraction form
    1,167,704/1,759,906 = 1,759,906/x
  3. Step 3: Cross multiply
    1,167,704x = 1,759,906 × 1,759,906
  4. Step 4: Simplify right side
    1,167,704x = 3,097,269,128,836
  5. Step 5: Solve for x
    x = 3,097,269,128,836/1,167,704
  6. Step 6: Final answer
    x = 2,652,443.71

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.