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Finding the Third Proportional to 411,850 and 890,321

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Solution

The third proportional to 411,850 and 890,321 is: 1,924,660.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,850 : 890,321 = 890,321 : x
  2. Step 2: Convert to fraction form
    411,850/890,321 = 890,321/x
  3. Step 3: Cross multiply
    411,850x = 890,321 × 890,321
  4. Step 4: Simplify right side
    411,850x = 792,671,483,041
  5. Step 5: Solve for x
    x = 792,671,483,041/411,850
  6. Step 6: Final answer
    x = 1,924,660.64

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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.