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Finding the Third Proportional to 2,265,995.25 and 4,636,693.13

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Solution

The third proportional to 2,265,995.25 and 4,636,693.13 is: 9,487,629.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,265,995.25 : 4,636,693.13 = 4,636,693.13 : x
  2. Step 2: Convert to fraction form
    2,265,995.25/4,636,693.13 = 4,636,693.13/x
  3. Step 3: Cross multiply
    2,265,995.25x = 4,636,693.13 × 4,636,693.13
  4. Step 4: Simplify right side
    2,265,995.25x = 21,498,923,135,422.27
  5. Step 5: Solve for x
    x = 21,498,923,135,422.27/2,265,995.25
  6. Step 6: Final answer
    x = 9,487,629.39

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.