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Finding the Third Proportional to 533,724 and 1,172,415

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Solution

The third proportional to 533,724 and 1,172,415 is: 2,575,407.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    533,724 : 1,172,415 = 1,172,415 : x
  2. Step 2: Convert to fraction form
    533,724/1,172,415 = 1,172,415/x
  3. Step 3: Cross multiply
    533,724x = 1,172,415 × 1,172,415
  4. Step 4: Simplify right side
    533,724x = 1,374,556,932,225
  5. Step 5: Solve for x
    x = 1,374,556,932,225/533,724
  6. Step 6: Final answer
    x = 2,575,407.76

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.