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Finding the Third Proportional to 502,073 and 1,105,997

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Solution

The third proportional to 502,073 and 1,105,997 is: 2,436,357.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    502,073 : 1,105,997 = 1,105,997 : x
  2. Step 2: Convert to fraction form
    502,073/1,105,997 = 1,105,997/x
  3. Step 3: Cross multiply
    502,073x = 1,105,997 × 1,105,997
  4. Step 4: Simplify right side
    502,073x = 1,223,229,364,009
  5. Step 5: Solve for x
    x = 1,223,229,364,009/502,073
  6. Step 6: Final answer
    x = 2,436,357.59

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.