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Finding the Third Proportional to 509,742 and 1,108,092

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Solution

The third proportional to 509,742 and 1,108,092 is: 2,408,802.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,742 : 1,108,092 = 1,108,092 : x
  2. Step 2: Convert to fraction form
    509,742/1,108,092 = 1,108,092/x
  3. Step 3: Cross multiply
    509,742x = 1,108,092 × 1,108,092
  4. Step 4: Simplify right side
    509,742x = 1,227,867,880,464
  5. Step 5: Solve for x
    x = 1,227,867,880,464/509,742
  6. Step 6: Final answer
    x = 2,408,802.65

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