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Finding the Third Proportional to 522,063 and 1,140,003

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Solution

The third proportional to 522,063 and 1,140,003 is: 2,489,367.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    522,063 : 1,140,003 = 1,140,003 : x
  2. Step 2: Convert to fraction form
    522,063/1,140,003 = 1,140,003/x
  3. Step 3: Cross multiply
    522,063x = 1,140,003 × 1,140,003
  4. Step 4: Simplify right side
    522,063x = 1,299,606,840,009
  5. Step 5: Solve for x
    x = 1,299,606,840,009/522,063
  6. Step 6: Final answer
    x = 2,489,367.83

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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.