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Finding the Third Proportional to 455,670 and 1,054,917

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Solution

The third proportional to 455,670 and 1,054,917 is: 2,442,227.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    455,670 : 1,054,917 = 1,054,917 : x
  2. Step 2: Convert to fraction form
    455,670/1,054,917 = 1,054,917/x
  3. Step 3: Cross multiply
    455,670x = 1,054,917 × 1,054,917
  4. Step 4: Simplify right side
    455,670x = 1,112,849,876,889
  5. Step 5: Solve for x
    x = 1,112,849,876,889/455,670
  6. Step 6: Final answer
    x = 2,442,227.66

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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.