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Finding the Third Proportional to 406,352 and 934,556

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Solution

The third proportional to 406,352 and 934,556 is: 2,149,355.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,352 : 934,556 = 934,556 : x
  2. Step 2: Convert to fraction form
    406,352/934,556 = 934,556/x
  3. Step 3: Cross multiply
    406,352x = 934,556 × 934,556
  4. Step 4: Simplify right side
    406,352x = 873,394,917,136
  5. Step 5: Solve for x
    x = 873,394,917,136/406,352
  6. Step 6: Final answer
    x = 2,149,355.53

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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.