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Finding the Third Proportional to 452,716 and 959,396

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Solution

The third proportional to 452,716 and 959,396 is: 2,033,152.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    452,716 : 959,396 = 959,396 : x
  2. Step 2: Convert to fraction form
    452,716/959,396 = 959,396/x
  3. Step 3: Cross multiply
    452,716x = 959,396 × 959,396
  4. Step 4: Simplify right side
    452,716x = 920,440,684,816
  5. Step 5: Solve for x
    x = 920,440,684,816/452,716
  6. Step 6: Final answer
    x = 2,033,152.54

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.