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Finding the Third Proportional to 455,651 and 1,054,868

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Solution

The third proportional to 455,651 and 1,054,868 is: 2,442,102.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    455,651 : 1,054,868 = 1,054,868 : x
  2. Step 2: Convert to fraction form
    455,651/1,054,868 = 1,054,868/x
  3. Step 3: Cross multiply
    455,651x = 1,054,868 × 1,054,868
  4. Step 4: Simplify right side
    455,651x = 1,112,746,497,424
  5. Step 5: Solve for x
    x = 1,112,746,497,424/455,651
  6. Step 6: Final answer
    x = 2,442,102.61

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.