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Finding the Third Proportional to 536,453 and 996,826

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Solution

The third proportional to 536,453 and 996,826 is: 1,852,281.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    536,453 : 996,826 = 996,826 : x
  2. Step 2: Convert to fraction form
    536,453/996,826 = 996,826/x
  3. Step 3: Cross multiply
    536,453x = 996,826 × 996,826
  4. Step 4: Simplify right side
    536,453x = 993,662,074,276
  5. Step 5: Solve for x
    x = 993,662,074,276/536,453
  6. Step 6: Final answer
    x = 1,852,281.70

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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.