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Finding the Third Proportional to 1,167,710 and 1,759,916

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Solution

The third proportional to 1,167,710 and 1,759,916 is: 2,652,460.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,167,710 : 1,759,916 = 1,759,916 : x
  2. Step 2: Convert to fraction form
    1,167,710/1,759,916 = 1,759,916/x
  3. Step 3: Cross multiply
    1,167,710x = 1,759,916 × 1,759,916
  4. Step 4: Simplify right side
    1,167,710x = 3,097,304,327,056
  5. Step 5: Solve for x
    x = 3,097,304,327,056/1,167,710
  6. Step 6: Final answer
    x = 2,652,460.22

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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.