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Finding the Third Proportional to 676,827 and 1,464,093

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Solution

The third proportional to 676,827 and 1,464,093 is: 3,167,084.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    676,827 : 1,464,093 = 1,464,093 : x
  2. Step 2: Convert to fraction form
    676,827/1,464,093 = 1,464,093/x
  3. Step 3: Cross multiply
    676,827x = 1,464,093 × 1,464,093
  4. Step 4: Simplify right side
    676,827x = 2,143,568,312,649
  5. Step 5: Solve for x
    x = 2,143,568,312,649/676,827
  6. Step 6: Final answer
    x = 3,167,084.52

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.