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Finding the Third Proportional to 767,126 and 1,615,144

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Solution

The third proportional to 767,126 and 1,615,144 is: 3,400,601.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    767,126 : 1,615,144 = 1,615,144 : x
  2. Step 2: Convert to fraction form
    767,126/1,615,144 = 1,615,144/x
  3. Step 3: Cross multiply
    767,126x = 1,615,144 × 1,615,144
  4. Step 4: Simplify right side
    767,126x = 2,608,690,140,736
  5. Step 5: Solve for x
    x = 2,608,690,140,736/767,126
  6. Step 6: Final answer
    x = 3,400,601.91

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These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.