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Finding the Third Proportional to 573,962 and 1,251,265

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Solution

The third proportional to 573,962 and 1,251,265 is: 2,727,818.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    573,962 : 1,251,265 = 1,251,265 : x
  2. Step 2: Convert to fraction form
    573,962/1,251,265 = 1,251,265/x
  3. Step 3: Cross multiply
    573,962x = 1,251,265 × 1,251,265
  4. Step 4: Simplify right side
    573,962x = 1,565,664,100,225
  5. Step 5: Solve for x
    x = 1,565,664,100,225/573,962
  6. Step 6: Final answer
    x = 2,727,818.39

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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.