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Finding the Third Proportional to 406,466 and 934,853

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Solution

The third proportional to 406,466 and 934,853 is: 2,150,118.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,466 : 934,853 = 934,853 : x
  2. Step 2: Convert to fraction form
    406,466/934,853 = 934,853/x
  3. Step 3: Cross multiply
    406,466x = 934,853 × 934,853
  4. Step 4: Simplify right side
    406,466x = 873,950,131,609
  5. Step 5: Solve for x
    x = 873,950,131,609/406,466
  6. Step 6: Final answer
    x = 2,150,118.66

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Why These Related Problems?

These problems maintain the same ratio (2.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.