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Finding the Third Proportional to 2,685,967 and 4,165,111

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Solution

The third proportional to 2,685,967 and 4,165,111 is: 6,458,809.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,685,967 : 4,165,111 = 4,165,111 : x
  2. Step 2: Convert to fraction form
    2,685,967/4,165,111 = 4,165,111/x
  3. Step 3: Cross multiply
    2,685,967x = 4,165,111 × 4,165,111
  4. Step 4: Simplify right side
    2,685,967x = 17,348,149,642,321
  5. Step 5: Solve for x
    x = 17,348,149,642,321/2,685,967
  6. Step 6: Final answer
    x = 6,458,809.67

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.