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Finding the Third Proportional to 2,649,186 and 4,196,697

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Solution

The third proportional to 2,649,186 and 4,196,697 is: 6,648,180.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,649,186 : 4,196,697 = 4,196,697 : x
  2. Step 2: Convert to fraction form
    2,649,186/4,196,697 = 4,196,697/x
  3. Step 3: Cross multiply
    2,649,186x = 4,196,697 × 4,196,697
  4. Step 4: Simplify right side
    2,649,186x = 17,612,265,709,809
  5. Step 5: Solve for x
    x = 17,612,265,709,809/2,649,186
  6. Step 6: Final answer
    x = 6,648,180.12

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These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.