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Finding the Third Proportional to 608,524 and 1,298,496

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Solution

The third proportional to 608,524 and 1,298,496 is: 2,770,789.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    608,524 : 1,298,496 = 1,298,496 : x
  2. Step 2: Convert to fraction form
    608,524/1,298,496 = 1,298,496/x
  3. Step 3: Cross multiply
    608,524x = 1,298,496 × 1,298,496
  4. Step 4: Simplify right side
    608,524x = 1,686,091,862,016
  5. Step 5: Solve for x
    x = 1,686,091,862,016/608,524
  6. Step 6: Final answer
    x = 2,770,789.42

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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.