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Finding the Third Proportional to 668,016 and 1,455,912

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Solution

The third proportional to 668,016 and 1,455,912 is: 3,173,097.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    668,016 : 1,455,912 = 1,455,912 : x
  2. Step 2: Convert to fraction form
    668,016/1,455,912 = 1,455,912/x
  3. Step 3: Cross multiply
    668,016x = 1,455,912 × 1,455,912
  4. Step 4: Simplify right side
    668,016x = 2,119,679,751,744
  5. Step 5: Solve for x
    x = 2,119,679,751,744/668,016
  6. Step 6: Final answer
    x = 3,173,097.28

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.