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Finding the Third Proportional to 494,548 and 890,675

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Solution

The third proportional to 494,548 and 890,675 is: 1,604,094.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    494,548 : 890,675 = 890,675 : x
  2. Step 2: Convert to fraction form
    494,548/890,675 = 890,675/x
  3. Step 3: Cross multiply
    494,548x = 890,675 × 890,675
  4. Step 4: Simplify right side
    494,548x = 793,301,955,625
  5. Step 5: Solve for x
    x = 793,301,955,625/494,548
  6. Step 6: Final answer
    x = 1,604,094.96

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Why These Related Problems?

These problems maintain the same ratio (1.80) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.