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Finding the Third Proportional to 801,216 and 1,624,560

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Solution

The third proportional to 801,216 and 1,624,560 is: 3,293,987.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    801,216 : 1,624,560 = 1,624,560 : x
  2. Step 2: Convert to fraction form
    801,216/1,624,560 = 1,624,560/x
  3. Step 3: Cross multiply
    801,216x = 1,624,560 × 1,624,560
  4. Step 4: Simplify right side
    801,216x = 2,639,195,193,600
  5. Step 5: Solve for x
    x = 2,639,195,193,600/801,216
  6. Step 6: Final answer
    x = 3,293,987.13

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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.