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Finding the Third Proportional to 1,772,619 and 4,273,677

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Solution

The third proportional to 1,772,619 and 4,273,677 is: 10,303,576.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,772,619 : 4,273,677 = 4,273,677 : x
  2. Step 2: Convert to fraction form
    1,772,619/4,273,677 = 4,273,677/x
  3. Step 3: Cross multiply
    1,772,619x = 4,273,677 × 4,273,677
  4. Step 4: Simplify right side
    1,772,619x = 18,264,315,100,329
  5. Step 5: Solve for x
    x = 18,264,315,100,329/1,772,619
  6. Step 6: Final answer
    x = 10,303,576.29

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Why These Related Problems?

These problems maintain the same ratio (2.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.