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Finding the Third Proportional to 1,949,588 and 4,512,938

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Solution

The third proportional to 1,949,588 and 4,512,938 is: 10,446,622.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,949,588 : 4,512,938 = 4,512,938 : x
  2. Step 2: Convert to fraction form
    1,949,588/4,512,938 = 4,512,938/x
  3. Step 3: Cross multiply
    1,949,588x = 4,512,938 × 4,512,938
  4. Step 4: Simplify right side
    1,949,588x = 20,366,609,391,844
  5. Step 5: Solve for x
    x = 20,366,609,391,844/1,949,588
  6. Step 6: Final answer
    x = 10,446,622.26

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.