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Finding the Third Proportional to 1,540,677 and 3,435,405

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Solution

The third proportional to 1,540,677 and 3,435,405 is: 7,660,273.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,540,677 : 3,435,405 = 3,435,405 : x
  2. Step 2: Convert to fraction form
    1,540,677/3,435,405 = 3,435,405/x
  3. Step 3: Cross multiply
    1,540,677x = 3,435,405 × 3,435,405
  4. Step 4: Simplify right side
    1,540,677x = 11,802,007,514,025
  5. Step 5: Solve for x
    x = 11,802,007,514,025/1,540,677
  6. Step 6: Final answer
    x = 7,660,273.71

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.