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Finding the Third Proportional to 498,852 and 1,060,020

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Solution

The third proportional to 498,852 and 1,060,020 is: 2,252,456.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    498,852 : 1,060,020 = 1,060,020 : x
  2. Step 2: Convert to fraction form
    498,852/1,060,020 = 1,060,020/x
  3. Step 3: Cross multiply
    498,852x = 1,060,020 × 1,060,020
  4. Step 4: Simplify right side
    498,852x = 1,123,642,400,400
  5. Step 5: Solve for x
    x = 1,123,642,400,400/498,852
  6. Step 6: Final answer
    x = 2,252,456.44

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.