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Finding the Third Proportional to 571,102 and 1,269,860

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Solution

The third proportional to 571,102 and 1,269,860 is: 2,823,566.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    571,102 : 1,269,860 = 1,269,860 : x
  2. Step 2: Convert to fraction form
    571,102/1,269,860 = 1,269,860/x
  3. Step 3: Cross multiply
    571,102x = 1,269,860 × 1,269,860
  4. Step 4: Simplify right side
    571,102x = 1,612,544,419,600
  5. Step 5: Solve for x
    x = 1,612,544,419,600/571,102
  6. Step 6: Final answer
    x = 2,823,566.40

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.