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Finding the Third Proportional to 2,202,471 and 4,523,514

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Solution

The third proportional to 2,202,471 and 4,523,514 is: 9,290,555.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,202,471 : 4,523,514 = 4,523,514 : x
  2. Step 2: Convert to fraction form
    2,202,471/4,523,514 = 4,523,514/x
  3. Step 3: Cross multiply
    2,202,471x = 4,523,514 × 4,523,514
  4. Step 4: Simplify right side
    2,202,471x = 20,462,178,908,196
  5. Step 5: Solve for x
    x = 20,462,178,908,196/2,202,471
  6. Step 6: Final answer
    x = 9,290,555.43

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.