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Finding the Third Proportional to 1,048,686 and 1,603,593

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Solution

The third proportional to 1,048,686 and 1,603,593 is: 2,452,126.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,048,686 : 1,603,593 = 1,603,593 : x
  2. Step 2: Convert to fraction form
    1,048,686/1,603,593 = 1,603,593/x
  3. Step 3: Cross multiply
    1,048,686x = 1,603,593 × 1,603,593
  4. Step 4: Simplify right side
    1,048,686x = 2,571,510,509,649
  5. Step 5: Solve for x
    x = 2,571,510,509,649/1,048,686
  6. Step 6: Final answer
    x = 2,452,126.29

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.