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Finding the Third Proportional to 1,585,544 and 3,485,968

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Solution

The third proportional to 1,585,544 and 3,485,968 is: 7,664,229.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,585,544 : 3,485,968 = 3,485,968 : x
  2. Step 2: Convert to fraction form
    1,585,544/3,485,968 = 3,485,968/x
  3. Step 3: Cross multiply
    1,585,544x = 3,485,968 × 3,485,968
  4. Step 4: Simplify right side
    1,585,544x = 12,151,972,897,024
  5. Step 5: Solve for x
    x = 12,151,972,897,024/1,585,544
  6. Step 6: Final answer
    x = 7,664,229.37

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.