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Finding the Third Proportional to 733,646 and 1,514,434

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Solution

The third proportional to 733,646 and 1,514,434 is: 3,126,181.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    733,646 : 1,514,434 = 1,514,434 : x
  2. Step 2: Convert to fraction form
    733,646/1,514,434 = 1,514,434/x
  3. Step 3: Cross multiply
    733,646x = 1,514,434 × 1,514,434
  4. Step 4: Simplify right side
    733,646x = 2,293,510,340,356
  5. Step 5: Solve for x
    x = 2,293,510,340,356/733,646
  6. Step 6: Final answer
    x = 3,126,181.21

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.