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Finding the Third Proportional to 793,221 and 1,546,590

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Solution

The third proportional to 793,221 and 1,546,590 is: 3,015,478.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    793,221 : 1,546,590 = 1,546,590 : x
  2. Step 2: Convert to fraction form
    793,221/1,546,590 = 1,546,590/x
  3. Step 3: Cross multiply
    793,221x = 1,546,590 × 1,546,590
  4. Step 4: Simplify right side
    793,221x = 2,391,940,628,100
  5. Step 5: Solve for x
    x = 2,391,940,628,100/793,221
  6. Step 6: Final answer
    x = 3,015,478.19

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.