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Finding the Third Proportional to 551,010 and 851,079

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Solution

The third proportional to 551,010 and 851,079 is: 1,314,559.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    551,010 : 851,079 = 851,079 : x
  2. Step 2: Convert to fraction form
    551,010/851,079 = 851,079/x
  3. Step 3: Cross multiply
    551,010x = 851,079 × 851,079
  4. Step 4: Simplify right side
    551,010x = 724,335,464,241
  5. Step 5: Solve for x
    x = 724,335,464,241/551,010
  6. Step 6: Final answer
    x = 1,314,559.56

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.