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Finding the Third Proportional to 2,773,460 and 4,261,116

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Solution

The third proportional to 2,773,460 and 4,261,116 is: 6,546,735.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,773,460 : 4,261,116 = 4,261,116 : x
  2. Step 2: Convert to fraction form
    2,773,460/4,261,116 = 4,261,116/x
  3. Step 3: Cross multiply
    2,773,460x = 4,261,116 × 4,261,116
  4. Step 4: Simplify right side
    2,773,460x = 18,157,109,565,456
  5. Step 5: Solve for x
    x = 18,157,109,565,456/2,773,460
  6. Step 6: Final answer
    x = 6,546,735.69

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.