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Finding the Third Proportional to 2,862,684 and 6,173,736

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Solution

The third proportional to 2,862,684 and 6,173,736 is: 13,314,433.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,862,684 : 6,173,736 = 6,173,736 : x
  2. Step 2: Convert to fraction form
    2,862,684/6,173,736 = 6,173,736/x
  3. Step 3: Cross multiply
    2,862,684x = 6,173,736 × 6,173,736
  4. Step 4: Simplify right side
    2,862,684x = 38,115,016,197,696
  5. Step 5: Solve for x
    x = 38,115,016,197,696/2,862,684
  6. Step 6: Final answer
    x = 13,314,433.66

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.