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Finding the Third Proportional to 573,951 and 1,251,243

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Solution

The third proportional to 573,951 and 1,251,243 is: 2,727,774.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    573,951 : 1,251,243 = 1,251,243 : x
  2. Step 2: Convert to fraction form
    573,951/1,251,243 = 1,251,243/x
  3. Step 3: Cross multiply
    573,951x = 1,251,243 × 1,251,243
  4. Step 4: Simplify right side
    573,951x = 1,565,609,045,049
  5. Step 5: Solve for x
    x = 1,565,609,045,049/573,951
  6. Step 6: Final answer
    x = 2,727,774.75

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.