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Finding the Third Proportional to 1,534,462 and 2,323,016

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Solution

The third proportional to 1,534,462 and 2,323,016 is: 3,516,804.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,534,462 : 2,323,016 = 2,323,016 : x
  2. Step 2: Convert to fraction form
    1,534,462/2,323,016 = 2,323,016/x
  3. Step 3: Cross multiply
    1,534,462x = 2,323,016 × 2,323,016
  4. Step 4: Simplify right side
    1,534,462x = 5,396,403,336,256
  5. Step 5: Solve for x
    x = 5,396,403,336,256/1,534,462
  6. Step 6: Final answer
    x = 3,516,804.81

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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.