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Finding the Third Proportional to 2,186,409 and 4,512,867

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Solution

The third proportional to 2,186,409 and 4,512,867 is: 9,314,802.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,186,409 : 4,512,867 = 4,512,867 : x
  2. Step 2: Convert to fraction form
    2,186,409/4,512,867 = 4,512,867/x
  3. Step 3: Cross multiply
    2,186,409x = 4,512,867 × 4,512,867
  4. Step 4: Simplify right side
    2,186,409x = 20,365,968,559,689
  5. Step 5: Solve for x
    x = 20,365,968,559,689/2,186,409
  6. Step 6: Final answer
    x = 9,314,802.75

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.