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Finding the Third Proportional to 2,246,880 and 4,809,984

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Solution

The third proportional to 2,246,880 and 4,809,984 is: 10,296,921.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,246,880 : 4,809,984 = 4,809,984 : x
  2. Step 2: Convert to fraction form
    2,246,880/4,809,984 = 4,809,984/x
  3. Step 3: Cross multiply
    2,246,880x = 4,809,984 × 4,809,984
  4. Step 4: Simplify right side
    2,246,880x = 23,135,946,080,256
  5. Step 5: Solve for x
    x = 23,135,946,080,256/2,246,880
  6. Step 6: Final answer
    x = 10,296,921.10

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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.