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Finding the Third Proportional to 1,351,802.25 and 2,740,905

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Solution

The third proportional to 1,351,802.25 and 2,740,905 is: 5,557,440.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,351,802.25 : 2,740,905 = 2,740,905 : x
  2. Step 2: Convert to fraction form
    1,351,802.25/2,740,905 = 2,740,905/x
  3. Step 3: Cross multiply
    1,351,802.25x = 2,740,905 × 2,740,905
  4. Step 4: Simplify right side
    1,351,802.25x = 7,512,560,219,025
  5. Step 5: Solve for x
    x = 7,512,560,219,025/1,351,802.25
  6. Step 6: Final answer
    x = 5,557,440.24

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.