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Finding the Third Proportional to 571,601 and 1,219,117

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Solution

The third proportional to 571,601 and 1,219,117 is: 2,600,146.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    571,601 : 1,219,117 = 1,219,117 : x
  2. Step 2: Convert to fraction form
    571,601/1,219,117 = 1,219,117/x
  3. Step 3: Cross multiply
    571,601x = 1,219,117 × 1,219,117
  4. Step 4: Simplify right side
    571,601x = 1,486,246,259,689
  5. Step 5: Solve for x
    x = 1,486,246,259,689/571,601
  6. Step 6: Final answer
    x = 2,600,146.36

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.