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Finding the Third Proportional to 485,975.25 and 1,003,002.75

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Solution

The third proportional to 485,975.25 and 1,003,002.75 is: 2,070,094.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    485,975.25 : 1,003,002.75 = 1,003,002.75 : x
  2. Step 2: Convert to fraction form
    485,975.25/1,003,002.75 = 1,003,002.75/x
  3. Step 3: Cross multiply
    485,975.25x = 1,003,002.75 × 1,003,002.75
  4. Step 4: Simplify right side
    485,975.25x = 1,006,014,516,507.56
  5. Step 5: Solve for x
    x = 1,006,014,516,507.56/485,975.25
  6. Step 6: Final answer
    x = 2,070,094.14

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These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.