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Finding the Third Proportional to 1,631,742 and 3,534,676

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Solution

The third proportional to 1,631,742 and 3,534,676 is: 7,656,807.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,631,742 : 3,534,676 = 3,534,676 : x
  2. Step 2: Convert to fraction form
    1,631,742/3,534,676 = 3,534,676/x
  3. Step 3: Cross multiply
    1,631,742x = 3,534,676 × 3,534,676
  4. Step 4: Simplify right side
    1,631,742x = 12,493,934,424,976
  5. Step 5: Solve for x
    x = 12,493,934,424,976/1,631,742
  6. Step 6: Final answer
    x = 7,656,807.53

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.