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Finding the Third Proportional to 758,138 and 1,649,137

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Solution

The third proportional to 758,138 and 1,649,137 is: 3,587,279.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    758,138 : 1,649,137 = 1,649,137 : x
  2. Step 2: Convert to fraction form
    758,138/1,649,137 = 1,649,137/x
  3. Step 3: Cross multiply
    758,138x = 1,649,137 × 1,649,137
  4. Step 4: Simplify right side
    758,138x = 2,719,652,844,769
  5. Step 5: Solve for x
    x = 2,719,652,844,769/758,138
  6. Step 6: Final answer
    x = 3,587,279.42

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Why These Related Problems?

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