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Finding the Third Proportional to 2,837,828 and 6,305,511

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Solution

The third proportional to 2,837,828 and 6,305,511 is: 14,010,528.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,837,828 : 6,305,511 = 6,305,511 : x
  2. Step 2: Convert to fraction form
    2,837,828/6,305,511 = 6,305,511/x
  3. Step 3: Cross multiply
    2,837,828x = 6,305,511 × 6,305,511
  4. Step 4: Simplify right side
    2,837,828x = 39,759,468,971,121
  5. Step 5: Solve for x
    x = 39,759,468,971,121/2,837,828
  6. Step 6: Final answer
    x = 14,010,528.11

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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.