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Finding the Third Proportional to 819,120 and 1,222,368

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Solution

The third proportional to 819,120 and 1,222,368 is: 1,824,132.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    819,120 : 1,222,368 = 1,222,368 : x
  2. Step 2: Convert to fraction form
    819,120/1,222,368 = 1,222,368/x
  3. Step 3: Cross multiply
    819,120x = 1,222,368 × 1,222,368
  4. Step 4: Simplify right side
    819,120x = 1,494,183,527,424
  5. Step 5: Solve for x
    x = 1,494,183,527,424/819,120
  6. Step 6: Final answer
    x = 1,824,132.64

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.