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Finding the Third Proportional to 1,965,690 and 4,204,629

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Solution

The third proportional to 1,965,690 and 4,204,629 is: 8,993,740.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,965,690 : 4,204,629 = 4,204,629 : x
  2. Step 2: Convert to fraction form
    1,965,690/4,204,629 = 4,204,629/x
  3. Step 3: Cross multiply
    1,965,690x = 4,204,629 × 4,204,629
  4. Step 4: Simplify right side
    1,965,690x = 17,678,905,027,641
  5. Step 5: Solve for x
    x = 17,678,905,027,641/1,965,690
  6. Step 6: Final answer
    x = 8,993,740.13

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.