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Finding the Third Proportional to 481,497 and 1,025,202

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Solution

The third proportional to 481,497 and 1,025,202 is: 2,182,857.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    481,497 : 1,025,202 = 1,025,202 : x
  2. Step 2: Convert to fraction form
    481,497/1,025,202 = 1,025,202/x
  3. Step 3: Cross multiply
    481,497x = 1,025,202 × 1,025,202
  4. Step 4: Simplify right side
    481,497x = 1,051,039,140,804
  5. Step 5: Solve for x
    x = 1,051,039,140,804/481,497
  6. Step 6: Final answer
    x = 2,182,857.09

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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.