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Finding the Third Proportional to 509,264 and 1,109,836

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Solution

The third proportional to 509,264 and 1,109,836 is: 2,418,658.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,264 : 1,109,836 = 1,109,836 : x
  2. Step 2: Convert to fraction form
    509,264/1,109,836 = 1,109,836/x
  3. Step 3: Cross multiply
    509,264x = 1,109,836 × 1,109,836
  4. Step 4: Simplify right side
    509,264x = 1,231,735,946,896
  5. Step 5: Solve for x
    x = 1,231,735,946,896/509,264
  6. Step 6: Final answer
    x = 2,418,658.98

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.