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Finding the Third Proportional to 640,016 and 1,400,560

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Solution

The third proportional to 640,016 and 1,400,560 is: 3,064,873.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    640,016 : 1,400,560 = 1,400,560 : x
  2. Step 2: Convert to fraction form
    640,016/1,400,560 = 1,400,560/x
  3. Step 3: Cross multiply
    640,016x = 1,400,560 × 1,400,560
  4. Step 4: Simplify right side
    640,016x = 1,961,568,313,600
  5. Step 5: Solve for x
    x = 1,961,568,313,600/640,016
  6. Step 6: Final answer
    x = 3,064,873.87

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.