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Finding the Third Proportional to 401,905 and 866,906

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Solution

The third proportional to 401,905 and 866,906 is: 1,869,909.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,905 : 866,906 = 866,906 : x
  2. Step 2: Convert to fraction form
    401,905/866,906 = 866,906/x
  3. Step 3: Cross multiply
    401,905x = 866,906 × 866,906
  4. Step 4: Simplify right side
    401,905x = 751,526,012,836
  5. Step 5: Solve for x
    x = 751,526,012,836/401,905
  6. Step 6: Final answer
    x = 1,869,909.59

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.