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Finding the Third Proportional to 551,257 and 1,186,970

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Solution

The third proportional to 551,257 and 1,186,970 is: 2,555,791.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    551,257 : 1,186,970 = 1,186,970 : x
  2. Step 2: Convert to fraction form
    551,257/1,186,970 = 1,186,970/x
  3. Step 3: Cross multiply
    551,257x = 1,186,970 × 1,186,970
  4. Step 4: Simplify right side
    551,257x = 1,408,897,780,900
  5. Step 5: Solve for x
    x = 1,408,897,780,900/551,257
  6. Step 6: Final answer
    x = 2,555,791.18

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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.