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Finding the Third Proportional to 551,514 and 884,859

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Solution

The third proportional to 551,514 and 884,859 is: 1,419,683.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    551,514 : 884,859 = 884,859 : x
  2. Step 2: Convert to fraction form
    551,514/884,859 = 884,859/x
  3. Step 3: Cross multiply
    551,514x = 884,859 × 884,859
  4. Step 4: Simplify right side
    551,514x = 782,975,449,881
  5. Step 5: Solve for x
    x = 782,975,449,881/551,514
  6. Step 6: Final answer
    x = 1,419,683.72

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.