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Finding the Third Proportional to 576,922 and 1,251,188

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Solution

The third proportional to 576,922 and 1,251,188 is: 2,713,488.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    576,922 : 1,251,188 = 1,251,188 : x
  2. Step 2: Convert to fraction form
    576,922/1,251,188 = 1,251,188/x
  3. Step 3: Cross multiply
    576,922x = 1,251,188 × 1,251,188
  4. Step 4: Simplify right side
    576,922x = 1,565,471,411,344
  5. Step 5: Solve for x
    x = 1,565,471,411,344/576,922
  6. Step 6: Final answer
    x = 2,713,488.84

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.