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Finding the Third Proportional to 890,586 and 1,812,276

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Solution

The third proportional to 890,586 and 1,812,276 is: 3,687,846.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    890,586 : 1,812,276 = 1,812,276 : x
  2. Step 2: Convert to fraction form
    890,586/1,812,276 = 1,812,276/x
  3. Step 3: Cross multiply
    890,586x = 1,812,276 × 1,812,276
  4. Step 4: Simplify right side
    890,586x = 3,284,344,300,176
  5. Step 5: Solve for x
    x = 3,284,344,300,176/890,586
  6. Step 6: Final answer
    x = 3,687,846.32

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.