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Finding the Third Proportional to 767,104 and 1,615,082

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Solution

The third proportional to 767,104 and 1,615,082 is: 3,400,438.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    767,104 : 1,615,082 = 1,615,082 : x
  2. Step 2: Convert to fraction form
    767,104/1,615,082 = 1,615,082/x
  3. Step 3: Cross multiply
    767,104x = 1,615,082 × 1,615,082
  4. Step 4: Simplify right side
    767,104x = 2,608,489,866,724
  5. Step 5: Solve for x
    x = 2,608,489,866,724/767,104
  6. Step 6: Final answer
    x = 3,400,438.36

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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.