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Finding the Third Proportional to 1,580,976 and 3,461,760

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Solution

The third proportional to 1,580,976 and 3,461,760 is: 7,579,990.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,580,976 : 3,461,760 = 3,461,760 : x
  2. Step 2: Convert to fraction form
    1,580,976/3,461,760 = 3,461,760/x
  3. Step 3: Cross multiply
    1,580,976x = 3,461,760 × 3,461,760
  4. Step 4: Simplify right side
    1,580,976x = 11,983,782,297,600
  5. Step 5: Solve for x
    x = 11,983,782,297,600/1,580,976
  6. Step 6: Final answer
    x = 7,579,990.02

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.