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Finding the Third Proportional to 522,831 and 1,145,346

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Solution

The third proportional to 522,831 and 1,145,346 is: 2,509,065.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    522,831 : 1,145,346 = 1,145,346 : x
  2. Step 2: Convert to fraction form
    522,831/1,145,346 = 1,145,346/x
  3. Step 3: Cross multiply
    522,831x = 1,145,346 × 1,145,346
  4. Step 4: Simplify right side
    522,831x = 1,311,817,459,716
  5. Step 5: Solve for x
    x = 1,311,817,459,716/522,831
  6. Step 6: Final answer
    x = 2,509,065.95

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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.