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Finding the Third Proportional to 545,514 and 1,166,844

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Solution

The third proportional to 545,514 and 1,166,844 is: 2,495,856.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    545,514 : 1,166,844 = 1,166,844 : x
  2. Step 2: Convert to fraction form
    545,514/1,166,844 = 1,166,844/x
  3. Step 3: Cross multiply
    545,514x = 1,166,844 × 1,166,844
  4. Step 4: Simplify right side
    545,514x = 1,361,524,920,336
  5. Step 5: Solve for x
    x = 1,361,524,920,336/545,514
  6. Step 6: Final answer
    x = 2,495,856.97

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.