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Finding the Third Proportional to 2,215,514 and 4,738,072

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Solution

The third proportional to 2,215,514 and 4,738,072 is: 10,132,784.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,215,514 : 4,738,072 = 4,738,072 : x
  2. Step 2: Convert to fraction form
    2,215,514/4,738,072 = 4,738,072/x
  3. Step 3: Cross multiply
    2,215,514x = 4,738,072 × 4,738,072
  4. Step 4: Simplify right side
    2,215,514x = 22,449,326,277,184
  5. Step 5: Solve for x
    x = 22,449,326,277,184/2,215,514
  6. Step 6: Final answer
    x = 10,132,784.66

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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.