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Finding the Third Proportional to 2,837,814 and 6,305,484

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Solution

The third proportional to 2,837,814 and 6,305,484 is: 14,010,477.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,837,814 : 6,305,484 = 6,305,484 : x
  2. Step 2: Convert to fraction form
    2,837,814/6,305,484 = 6,305,484/x
  3. Step 3: Cross multiply
    2,837,814x = 6,305,484 × 6,305,484
  4. Step 4: Simplify right side
    2,837,814x = 39,759,128,474,256
  5. Step 5: Solve for x
    x = 39,759,128,474,256/2,837,814
  6. Step 6: Final answer
    x = 14,010,477.25

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.