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Finding the Third Proportional to 520,037 and 1,080,897

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Solution

The third proportional to 520,037 and 1,080,897 is: 2,246,644.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    520,037 : 1,080,897 = 1,080,897 : x
  2. Step 2: Convert to fraction form
    520,037/1,080,897 = 1,080,897/x
  3. Step 3: Cross multiply
    520,037x = 1,080,897 × 1,080,897
  4. Step 4: Simplify right side
    520,037x = 1,168,338,324,609
  5. Step 5: Solve for x
    x = 1,168,338,324,609/520,037
  6. Step 6: Final answer
    x = 2,246,644.61

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.