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Finding the Third Proportional to 468,510 and 1,027,308

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Solution

The third proportional to 468,510 and 1,027,308 is: 2,252,591.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    468,510 : 1,027,308 = 1,027,308 : x
  2. Step 2: Convert to fraction form
    468,510/1,027,308 = 1,027,308/x
  3. Step 3: Cross multiply
    468,510x = 1,027,308 × 1,027,308
  4. Step 4: Simplify right side
    468,510x = 1,055,361,726,864
  5. Step 5: Solve for x
    x = 1,055,361,726,864/468,510
  6. Step 6: Final answer
    x = 2,252,591.68

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.