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Finding the Third Proportional to 526,009 and 1,150,434

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Solution

The third proportional to 526,009 and 1,150,434 is: 2,516,113.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    526,009 : 1,150,434 = 1,150,434 : x
  2. Step 2: Convert to fraction form
    526,009/1,150,434 = 1,150,434/x
  3. Step 3: Cross multiply
    526,009x = 1,150,434 × 1,150,434
  4. Step 4: Simplify right side
    526,009x = 1,323,498,388,356
  5. Step 5: Solve for x
    x = 1,323,498,388,356/526,009
  6. Step 6: Final answer
    x = 2,516,113.58

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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.