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Finding the Third Proportional to 1,221,177 and 1,868,029

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Solution

The third proportional to 1,221,177 and 1,868,029 is: 2,857,515.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,221,177 : 1,868,029 = 1,868,029 : x
  2. Step 2: Convert to fraction form
    1,221,177/1,868,029 = 1,868,029/x
  3. Step 3: Cross multiply
    1,221,177x = 1,868,029 × 1,868,029
  4. Step 4: Simplify right side
    1,221,177x = 3,489,532,344,841
  5. Step 5: Solve for x
    x = 3,489,532,344,841/1,221,177
  6. Step 6: Final answer
    x = 2,857,515.61

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.