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Finding the Third Proportional to 1,180,514 and 2,609,122

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Solution

The third proportional to 1,180,514 and 2,609,122 is: 5,766,570.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,180,514 : 2,609,122 = 2,609,122 : x
  2. Step 2: Convert to fraction form
    1,180,514/2,609,122 = 2,609,122/x
  3. Step 3: Cross multiply
    1,180,514x = 2,609,122 × 2,609,122
  4. Step 4: Simplify right side
    1,180,514x = 6,807,517,610,884
  5. Step 5: Solve for x
    x = 6,807,517,610,884/1,180,514
  6. Step 6: Final answer
    x = 5,766,570.84

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.