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Finding the Third Proportional to 526,044 and 1,150,524

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Solution

The third proportional to 526,044 and 1,150,524 is: 2,516,339.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    526,044 : 1,150,524 = 1,150,524 : x
  2. Step 2: Convert to fraction form
    526,044/1,150,524 = 1,150,524/x
  3. Step 3: Cross multiply
    526,044x = 1,150,524 × 1,150,524
  4. Step 4: Simplify right side
    526,044x = 1,323,705,474,576
  5. Step 5: Solve for x
    x = 1,323,705,474,576/526,044
  6. Step 6: Final answer
    x = 2,516,339.84

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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.