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Finding the Third Proportional to 758,128 and 1,649,116

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Solution

The third proportional to 758,128 and 1,649,116 is: 3,587,235.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    758,128 : 1,649,116 = 1,649,116 : x
  2. Step 2: Convert to fraction form
    758,128/1,649,116 = 1,649,116/x
  3. Step 3: Cross multiply
    758,128x = 1,649,116 × 1,649,116
  4. Step 4: Simplify right side
    758,128x = 2,719,583,581,456
  5. Step 5: Solve for x
    x = 2,719,583,581,456/758,128
  6. Step 6: Final answer
    x = 3,587,235.38

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.