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Finding the Third Proportional to 411,854 and 890,329

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Solution

The third proportional to 411,854 and 890,329 is: 1,924,676.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,854 : 890,329 = 890,329 : x
  2. Step 2: Convert to fraction form
    411,854/890,329 = 890,329/x
  3. Step 3: Cross multiply
    411,854x = 890,329 × 890,329
  4. Step 4: Simplify right side
    411,854x = 792,685,728,241
  5. Step 5: Solve for x
    x = 792,685,728,241/411,854
  6. Step 6: Final answer
    x = 1,924,676.53

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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.