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Finding the Third Proportional to 406,233 and 891,234

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Solution

The third proportional to 406,233 and 891,234 is: 1,955,277.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,233 : 891,234 = 891,234 : x
  2. Step 2: Convert to fraction form
    406,233/891,234 = 891,234/x
  3. Step 3: Cross multiply
    406,233x = 891,234 × 891,234
  4. Step 4: Simplify right side
    406,233x = 794,298,042,756
  5. Step 5: Solve for x
    x = 794,298,042,756/406,233
  6. Step 6: Final answer
    x = 1,955,277.00

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.