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Finding the Third Proportional to 793,947 and 1,690,307

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Solution

The third proportional to 793,947 and 1,690,307 is: 3,598,650.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    793,947 : 1,690,307 = 1,690,307 : x
  2. Step 2: Convert to fraction form
    793,947/1,690,307 = 1,690,307/x
  3. Step 3: Cross multiply
    793,947x = 1,690,307 × 1,690,307
  4. Step 4: Simplify right side
    793,947x = 2,857,137,754,249
  5. Step 5: Solve for x
    x = 2,857,137,754,249/793,947
  6. Step 6: Final answer
    x = 3,598,650.48

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.