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Finding the Third Proportional to 767,119 and 1,615,114

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Solution

The third proportional to 767,119 and 1,615,114 is: 3,400,506.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    767,119 : 1,615,114 = 1,615,114 : x
  2. Step 2: Convert to fraction form
    767,119/1,615,114 = 1,615,114/x
  3. Step 3: Cross multiply
    767,119x = 1,615,114 × 1,615,114
  4. Step 4: Simplify right side
    767,119x = 2,608,593,232,996
  5. Step 5: Solve for x
    x = 2,608,593,232,996/767,119
  6. Step 6: Final answer
    x = 3,400,506.61

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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.