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Finding the Third Proportional to 411,836.48 and 890,294.20

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Solution

The third proportional to 411,836.48 and 890,294.20 is: 1,924,607.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,836.48 : 890,294.20 = 890,294.20 : x
  2. Step 2: Convert to fraction form
    411,836.48/890,294.20 = 890,294.20/x
  3. Step 3: Cross multiply
    411,836.48x = 890,294.20 × 890,294.20
  4. Step 4: Simplify right side
    411,836.48x = 792,623,768,117.98
  5. Step 5: Solve for x
    x = 792,623,768,117.98/411,836.48
  6. Step 6: Final answer
    x = 1,924,607.94

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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.