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Finding the Third Proportional to 812,682 and 1,216,080

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Solution

The third proportional to 812,682 and 1,216,080 is: 1,819,716.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    812,682 : 1,216,080 = 1,216,080 : x
  2. Step 2: Convert to fraction form
    812,682/1,216,080 = 1,216,080/x
  3. Step 3: Cross multiply
    812,682x = 1,216,080 × 1,216,080
  4. Step 4: Simplify right side
    812,682x = 1,478,850,566,400
  5. Step 5: Solve for x
    x = 1,478,850,566,400/812,682
  6. Step 6: Final answer
    x = 1,819,716.16

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.