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Finding the Third Proportional to 1,606,540 and 3,461,912

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Solution

The third proportional to 1,606,540 and 3,461,912 is: 7,460,028.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,606,540 : 3,461,912 = 3,461,912 : x
  2. Step 2: Convert to fraction form
    1,606,540/3,461,912 = 3,461,912/x
  3. Step 3: Cross multiply
    1,606,540x = 3,461,912 × 3,461,912
  4. Step 4: Simplify right side
    1,606,540x = 11,984,834,695,744
  5. Step 5: Solve for x
    x = 11,984,834,695,744/1,606,540
  6. Step 6: Final answer
    x = 7,460,028.82

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.