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Finding the Third Proportional to 481,506 and 1,025,218

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Solution

The third proportional to 481,506 and 1,025,218 is: 2,182,884.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    481,506 : 1,025,218 = 1,025,218 : x
  2. Step 2: Convert to fraction form
    481,506/1,025,218 = 1,025,218/x
  3. Step 3: Cross multiply
    481,506x = 1,025,218 × 1,025,218
  4. Step 4: Simplify right side
    481,506x = 1,051,071,947,524
  5. Step 5: Solve for x
    x = 1,051,071,947,524/481,506
  6. Step 6: Final answer
    x = 2,182,884.42

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Why These Related Problems?

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