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Finding the Third Proportional to 767,121 and 1,615,116

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Solution

The third proportional to 767,121 and 1,615,116 is: 3,400,506.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    767,121 : 1,615,116 = 1,615,116 : x
  2. Step 2: Convert to fraction form
    767,121/1,615,116 = 1,615,116/x
  3. Step 3: Cross multiply
    767,121x = 1,615,116 × 1,615,116
  4. Step 4: Simplify right side
    767,121x = 2,608,599,693,456
  5. Step 5: Solve for x
    x = 2,608,599,693,456/767,121
  6. Step 6: Final answer
    x = 3,400,506.17

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Why These Related Problems?

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