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Finding the Third Proportional to 4,341,514 and 6,382,194

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Solution

The third proportional to 4,341,514 and 6,382,194 is: 9,382,072.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,341,514 : 6,382,194 = 6,382,194 : x
  2. Step 2: Convert to fraction form
    4,341,514/6,382,194 = 6,382,194/x
  3. Step 3: Cross multiply
    4,341,514x = 6,382,194 × 6,382,194
  4. Step 4: Simplify right side
    4,341,514x = 40,732,400,253,636
  5. Step 5: Solve for x
    x = 40,732,400,253,636/4,341,514
  6. Step 6: Final answer
    x = 9,382,072.76

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.