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Finding the Third Proportional to 1,603,519 and 3,457,679

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Solution

The third proportional to 1,603,519 and 3,457,679 is: 7,455,816.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,603,519 : 3,457,679 = 3,457,679 : x
  2. Step 2: Convert to fraction form
    1,603,519/3,457,679 = 3,457,679/x
  3. Step 3: Cross multiply
    1,603,519x = 3,457,679 × 3,457,679
  4. Step 4: Simplify right side
    1,603,519x = 11,955,544,067,041
  5. Step 5: Solve for x
    x = 11,955,544,067,041/1,603,519
  6. Step 6: Final answer
    x = 7,455,816.90

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.