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Finding the Third Proportional to 2,065,806 and 4,457,916

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Solution

The third proportional to 2,065,806 and 4,457,916 is: 9,619,981.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,065,806 : 4,457,916 = 4,457,916 : x
  2. Step 2: Convert to fraction form
    2,065,806/4,457,916 = 4,457,916/x
  3. Step 3: Cross multiply
    2,065,806x = 4,457,916 × 4,457,916
  4. Step 4: Simplify right side
    2,065,806x = 19,873,015,063,056
  5. Step 5: Solve for x
    x = 19,873,015,063,056/2,065,806
  6. Step 6: Final answer
    x = 9,619,981.29

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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.