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Finding the Third Proportional to 1,975,728 and 4,245,984

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Solution

The third proportional to 1,975,728 and 4,245,984 is: 9,124,930.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,975,728 : 4,245,984 = 4,245,984 : x
  2. Step 2: Convert to fraction form
    1,975,728/4,245,984 = 4,245,984/x
  3. Step 3: Cross multiply
    1,975,728x = 4,245,984 × 4,245,984
  4. Step 4: Simplify right side
    1,975,728x = 18,028,380,128,256
  5. Step 5: Solve for x
    x = 18,028,380,128,256/1,975,728
  6. Step 6: Final answer
    x = 9,124,930.22

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.