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Finding the Third Proportional to 474,032.25 and 1,024,245

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Solution

The third proportional to 474,032.25 and 1,024,245 is: 2,213,093.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    474,032.25 : 1,024,245 = 1,024,245 : x
  2. Step 2: Convert to fraction form
    474,032.25/1,024,245 = 1,024,245/x
  3. Step 3: Cross multiply
    474,032.25x = 1,024,245 × 1,024,245
  4. Step 4: Simplify right side
    474,032.25x = 1,049,077,820,025
  5. Step 5: Solve for x
    x = 1,049,077,820,025/474,032.25
  6. Step 6: Final answer
    x = 2,213,093.77

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.