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Finding the Third Proportional to 528,193 and 1,029,926

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Solution

The third proportional to 528,193 and 1,029,926 is: 2,008,257.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    528,193 : 1,029,926 = 1,029,926 : x
  2. Step 2: Convert to fraction form
    528,193/1,029,926 = 1,029,926/x
  3. Step 3: Cross multiply
    528,193x = 1,029,926 × 1,029,926
  4. Step 4: Simplify right side
    528,193x = 1,060,747,565,476
  5. Step 5: Solve for x
    x = 1,060,747,565,476/528,193
  6. Step 6: Final answer
    x = 2,008,257.52

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.