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Finding the Third Proportional to 400,253 and 866,926

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Solution

The third proportional to 400,253 and 866,926 is: 1,877,714.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    400,253 : 866,926 = 866,926 : x
  2. Step 2: Convert to fraction form
    400,253/866,926 = 866,926/x
  3. Step 3: Cross multiply
    400,253x = 866,926 × 866,926
  4. Step 4: Simplify right side
    400,253x = 751,560,689,476
  5. Step 5: Solve for x
    x = 751,560,689,476/400,253
  6. Step 6: Final answer
    x = 1,877,714.07

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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.