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Finding the Third Proportional to 494,644 and 918,584

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Solution

The third proportional to 494,644 and 918,584 is: 1,705,866.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    494,644 : 918,584 = 918,584 : x
  2. Step 2: Convert to fraction form
    494,644/918,584 = 918,584/x
  3. Step 3: Cross multiply
    494,644x = 918,584 × 918,584
  4. Step 4: Simplify right side
    494,644x = 843,796,565,056
  5. Step 5: Solve for x
    x = 843,796,565,056/494,644
  6. Step 6: Final answer
    x = 1,705,866.37

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Why These Related Problems?

These problems maintain the same ratio (1.86) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.