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Finding the Third Proportional to 526,761 and 1,133,415

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Solution

The third proportional to 526,761 and 1,133,415 is: 2,438,733.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    526,761 : 1,133,415 = 1,133,415 : x
  2. Step 2: Convert to fraction form
    526,761/1,133,415 = 1,133,415/x
  3. Step 3: Cross multiply
    526,761x = 1,133,415 × 1,133,415
  4. Step 4: Simplify right side
    526,761x = 1,284,629,562,225
  5. Step 5: Solve for x
    x = 1,284,629,562,225/526,761
  6. Step 6: Final answer
    x = 2,438,733.24

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.