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Finding the Third Proportional to 581,400 and 1,251,504

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Solution

The third proportional to 581,400 and 1,251,504 is: 2,693,949.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    581,400 : 1,251,504 = 1,251,504 : x
  2. Step 2: Convert to fraction form
    581,400/1,251,504 = 1,251,504/x
  3. Step 3: Cross multiply
    581,400x = 1,251,504 × 1,251,504
  4. Step 4: Simplify right side
    581,400x = 1,566,262,262,016
  5. Step 5: Solve for x
    x = 1,566,262,262,016/581,400
  6. Step 6: Final answer
    x = 2,693,949.54

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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.