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Finding the Third Proportional to 767,106 and 1,615,086

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Solution

The third proportional to 767,106 and 1,615,086 is: 3,400,446.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    767,106 : 1,615,086 = 1,615,086 : x
  2. Step 2: Convert to fraction form
    767,106/1,615,086 = 1,615,086/x
  3. Step 3: Cross multiply
    767,106x = 1,615,086 × 1,615,086
  4. Step 4: Simplify right side
    767,106x = 2,608,502,787,396
  5. Step 5: Solve for x
    x = 2,608,502,787,396/767,106
  6. Step 6: Final answer
    x = 3,400,446.34

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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.