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Finding the Third Proportional to 526,107 and 1,150,629

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Solution

The third proportional to 526,107 and 1,150,629 is: 2,516,497.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    526,107 : 1,150,629 = 1,150,629 : x
  2. Step 2: Convert to fraction form
    526,107/1,150,629 = 1,150,629/x
  3. Step 3: Cross multiply
    526,107x = 1,150,629 × 1,150,629
  4. Step 4: Simplify right side
    526,107x = 1,323,947,095,641
  5. Step 5: Solve for x
    x = 1,323,947,095,641/526,107
  6. Step 6: Final answer
    x = 2,516,497.78

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