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Finding the Third Proportional to 1,238,649 and 1,810,177

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Solution

The third proportional to 1,238,649 and 1,810,177 is: 2,645,415.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,238,649 : 1,810,177 = 1,810,177 : x
  2. Step 2: Convert to fraction form
    1,238,649/1,810,177 = 1,810,177/x
  3. Step 3: Cross multiply
    1,238,649x = 1,810,177 × 1,810,177
  4. Step 4: Simplify right side
    1,238,649x = 3,276,740,771,329
  5. Step 5: Solve for x
    x = 3,276,740,771,329/1,238,649
  6. Step 6: Final answer
    x = 2,645,415.10

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.