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Finding the Third Proportional to 1,137,624 and 2,457,696

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Solution

The third proportional to 1,137,624 and 2,457,696 is: 5,309,548.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,137,624 : 2,457,696 = 2,457,696 : x
  2. Step 2: Convert to fraction form
    1,137,624/2,457,696 = 2,457,696/x
  3. Step 3: Cross multiply
    1,137,624x = 2,457,696 × 2,457,696
  4. Step 4: Simplify right side
    1,137,624x = 6,040,269,628,416
  5. Step 5: Solve for x
    x = 6,040,269,628,416/1,137,624
  6. Step 6: Final answer
    x = 5,309,548.35

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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.