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Finding the Third Proportional to 481,500 and 1,025,206

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Solution

The third proportional to 481,500 and 1,025,206 is: 2,182,860.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    481,500 : 1,025,206 = 1,025,206 : x
  2. Step 2: Convert to fraction form
    481,500/1,025,206 = 1,025,206/x
  3. Step 3: Cross multiply
    481,500x = 1,025,206 × 1,025,206
  4. Step 4: Simplify right side
    481,500x = 1,051,047,342,436
  5. Step 5: Solve for x
    x = 1,051,047,342,436/481,500
  6. Step 6: Final answer
    x = 2,182,860.52

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These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.