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Finding the Third Proportional to 509,414 and 1,093,992

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Solution

The third proportional to 509,414 and 1,093,992 is: 2,349,402.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,414 : 1,093,992 = 1,093,992 : x
  2. Step 2: Convert to fraction form
    509,414/1,093,992 = 1,093,992/x
  3. Step 3: Cross multiply
    509,414x = 1,093,992 × 1,093,992
  4. Step 4: Simplify right side
    509,414x = 1,196,818,496,064
  5. Step 5: Solve for x
    x = 1,196,818,496,064/509,414
  6. Step 6: Final answer
    x = 2,349,402.44

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.