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Finding the Third Proportional to 2,585,022 and 3,622,429

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Solution

The third proportional to 2,585,022 and 3,622,429 is: 5,076,162.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,585,022 : 3,622,429 = 3,622,429 : x
  2. Step 2: Convert to fraction form
    2,585,022/3,622,429 = 3,622,429/x
  3. Step 3: Cross multiply
    2,585,022x = 3,622,429 × 3,622,429
  4. Step 4: Simplify right side
    2,585,022x = 13,121,991,860,041
  5. Step 5: Solve for x
    x = 13,121,991,860,041/2,585,022
  6. Step 6: Final answer
    x = 5,076,162.55

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.