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Finding the Third Proportional to 832,228 and 1,790,855

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Solution

The third proportional to 832,228 and 1,790,855 is: 3,853,705.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    832,228 : 1,790,855 = 1,790,855 : x
  2. Step 2: Convert to fraction form
    832,228/1,790,855 = 1,790,855/x
  3. Step 3: Cross multiply
    832,228x = 1,790,855 × 1,790,855
  4. Step 4: Simplify right side
    832,228x = 3,207,161,631,025
  5. Step 5: Solve for x
    x = 3,207,161,631,025/832,228
  6. Step 6: Final answer
    x = 3,853,705.51

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.