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Finding the Third Proportional to 2,462,684 and 3,684,117

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Solution

The third proportional to 2,462,684 and 3,684,117 is: 5,511,351.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,462,684 : 3,684,117 = 3,684,117 : x
  2. Step 2: Convert to fraction form
    2,462,684/3,684,117 = 3,684,117/x
  3. Step 3: Cross multiply
    2,462,684x = 3,684,117 × 3,684,117
  4. Step 4: Simplify right side
    2,462,684x = 13,572,718,069,689
  5. Step 5: Solve for x
    x = 13,572,718,069,689/2,462,684
  6. Step 6: Final answer
    x = 5,511,351.87

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.