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Finding the Third Proportional to 536,448 and 996,816

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Solution

The third proportional to 536,448 and 996,816 is: 1,852,261.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    536,448 : 996,816 = 996,816 : x
  2. Step 2: Convert to fraction form
    536,448/996,816 = 996,816/x
  3. Step 3: Cross multiply
    536,448x = 996,816 × 996,816
  4. Step 4: Simplify right side
    536,448x = 993,642,137,856
  5. Step 5: Solve for x
    x = 993,642,137,856/536,448
  6. Step 6: Final answer
    x = 1,852,261.80

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Why These Related Problems?

These problems maintain the same ratio (1.86) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.