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Finding the Third Proportional to 2,693,148 and 5,759,543

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Solution

The third proportional to 2,693,148 and 5,759,543 is: 12,317,308.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,693,148 : 5,759,543 = 5,759,543 : x
  2. Step 2: Convert to fraction form
    2,693,148/5,759,543 = 5,759,543/x
  3. Step 3: Cross multiply
    2,693,148x = 5,759,543 × 5,759,543
  4. Step 4: Simplify right side
    2,693,148x = 33,172,335,568,849
  5. Step 5: Solve for x
    x = 33,172,335,568,849/2,693,148
  6. Step 6: Final answer
    x = 12,317,308.80

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.