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Finding the Third Proportional to 503,646 and 1,063,606.50

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Solution

The third proportional to 503,646 and 1,063,606.50 is: 2,246,138.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    503,646 : 1,063,606.50 = 1,063,606.50 : x
  2. Step 2: Convert to fraction form
    503,646/1,063,606.50 = 1,063,606.50/x
  3. Step 3: Cross multiply
    503,646x = 1,063,606.50 × 1,063,606.50
  4. Step 4: Simplify right side
    503,646x = 1,131,258,786,842.25
  5. Step 5: Solve for x
    x = 1,131,258,786,842.25/503,646
  6. Step 6: Final answer
    x = 2,246,138.73

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These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.