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Finding the Third Proportional to 576,496 and 1,181,504

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Solution

The third proportional to 576,496 and 1,181,504 is: 2,421,442.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    576,496 : 1,181,504 = 1,181,504 : x
  2. Step 2: Convert to fraction form
    576,496/1,181,504 = 1,181,504/x
  3. Step 3: Cross multiply
    576,496x = 1,181,504 × 1,181,504
  4. Step 4: Simplify right side
    576,496x = 1,395,951,702,016
  5. Step 5: Solve for x
    x = 1,395,951,702,016/576,496
  6. Step 6: Final answer
    x = 2,421,442.13

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.