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Finding the Third Proportional to 551,264.25 and 1,186,986

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Solution

The third proportional to 551,264.25 and 1,186,986 is: 2,555,826.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    551,264.25 : 1,186,986 = 1,186,986 : x
  2. Step 2: Convert to fraction form
    551,264.25/1,186,986 = 1,186,986/x
  3. Step 3: Cross multiply
    551,264.25x = 1,186,986 × 1,186,986
  4. Step 4: Simplify right side
    551,264.25x = 1,408,935,764,196
  5. Step 5: Solve for x
    x = 1,408,935,764,196/551,264.25
  6. Step 6: Final answer
    x = 2,555,826.47

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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.