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Finding the Third Proportional to 2,255,584 and 3,497,912

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Solution

The third proportional to 2,255,584 and 3,497,912 is: 5,424,488.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,255,584 : 3,497,912 = 3,497,912 : x
  2. Step 2: Convert to fraction form
    2,255,584/3,497,912 = 3,497,912/x
  3. Step 3: Cross multiply
    2,255,584x = 3,497,912 × 3,497,912
  4. Step 4: Simplify right side
    2,255,584x = 12,235,388,359,744
  5. Step 5: Solve for x
    x = 12,235,388,359,744/2,255,584
  6. Step 6: Final answer
    x = 5,424,488.01

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.