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Finding the Third Proportional to 485,025 and 1,001,181.75

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Solution

The third proportional to 485,025 and 1,001,181.75 is: 2,066,625.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    485,025 : 1,001,181.75 = 1,001,181.75 : x
  2. Step 2: Convert to fraction form
    485,025/1,001,181.75 = 1,001,181.75/x
  3. Step 3: Cross multiply
    485,025x = 1,001,181.75 × 1,001,181.75
  4. Step 4: Simplify right side
    485,025x = 1,002,364,896,533.06
  5. Step 5: Solve for x
    x = 1,002,364,896,533.06/485,025
  6. Step 6: Final answer
    x = 2,066,625.22

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Why These Related Problems?

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