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Finding the Third Proportional to 581,198 and 1,251,455

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Solution

The third proportional to 581,198 and 1,251,455 is: 2,694,674.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    581,198 : 1,251,455 = 1,251,455 : x
  2. Step 2: Convert to fraction form
    581,198/1,251,455 = 1,251,455/x
  3. Step 3: Cross multiply
    581,198x = 1,251,455 × 1,251,455
  4. Step 4: Simplify right side
    581,198x = 1,566,139,617,025
  5. Step 5: Solve for x
    x = 1,566,139,617,025/581,198
  6. Step 6: Final answer
    x = 2,694,674.82

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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.