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Finding the Third Proportional to 801,218 and 1,624,564

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Solution

The third proportional to 801,218 and 1,624,564 is: 3,293,995.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    801,218 : 1,624,564 = 1,624,564 : x
  2. Step 2: Convert to fraction form
    801,218/1,624,564 = 1,624,564/x
  3. Step 3: Cross multiply
    801,218x = 1,624,564 × 1,624,564
  4. Step 4: Simplify right side
    801,218x = 2,639,208,190,096
  5. Step 5: Solve for x
    x = 2,639,208,190,096/801,218
  6. Step 6: Final answer
    x = 3,293,995.13

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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.