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Finding the Third Proportional to 3,135,983 and 4,416,303

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Solution

The third proportional to 3,135,983 and 4,416,303 is: 6,219,336.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,135,983 : 4,416,303 = 4,416,303 : x
  2. Step 2: Convert to fraction form
    3,135,983/4,416,303 = 4,416,303/x
  3. Step 3: Cross multiply
    3,135,983x = 4,416,303 × 4,416,303
  4. Step 4: Simplify right side
    3,135,983x = 19,503,732,187,809
  5. Step 5: Solve for x
    x = 19,503,732,187,809/3,135,983
  6. Step 6: Final answer
    x = 6,219,336.07

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.