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Finding the Third Proportional to 1,301,952 and 2,817,963

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Solution

The third proportional to 1,301,952 and 2,817,963 is: 6,099,238.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,301,952 : 2,817,963 = 2,817,963 : x
  2. Step 2: Convert to fraction form
    1,301,952/2,817,963 = 2,817,963/x
  3. Step 3: Cross multiply
    1,301,952x = 2,817,963 × 2,817,963
  4. Step 4: Simplify right side
    1,301,952x = 7,940,915,469,369
  5. Step 5: Solve for x
    x = 7,940,915,469,369/1,301,952
  6. Step 6: Final answer
    x = 6,099,238.27

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.