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Finding the Third Proportional to 455,542 and 996,888

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Solution

The third proportional to 455,542 and 996,888 is: 2,181,545.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    455,542 : 996,888 = 996,888 : x
  2. Step 2: Convert to fraction form
    455,542/996,888 = 996,888/x
  3. Step 3: Cross multiply
    455,542x = 996,888 × 996,888
  4. Step 4: Simplify right side
    455,542x = 993,785,684,544
  5. Step 5: Solve for x
    x = 993,785,684,544/455,542
  6. Step 6: Final answer
    x = 2,181,545.69

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Why These Related Problems?

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