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Finding the Third Proportional to 509,740 and 1,108,088

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Solution

The third proportional to 509,740 and 1,108,088 is: 2,408,794.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,740 : 1,108,088 = 1,108,088 : x
  2. Step 2: Convert to fraction form
    509,740/1,108,088 = 1,108,088/x
  3. Step 3: Cross multiply
    509,740x = 1,108,088 × 1,108,088
  4. Step 4: Simplify right side
    509,740x = 1,227,859,015,744
  5. Step 5: Solve for x
    x = 1,227,859,015,744/509,740
  6. Step 6: Final answer
    x = 2,408,794.71

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.