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Finding the Third Proportional to 593,816 and 1,245,984

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Solution

The third proportional to 593,816 and 1,245,984 is: 2,614,406.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    593,816 : 1,245,984 = 1,245,984 : x
  2. Step 2: Convert to fraction form
    593,816/1,245,984 = 1,245,984/x
  3. Step 3: Cross multiply
    593,816x = 1,245,984 × 1,245,984
  4. Step 4: Simplify right side
    593,816x = 1,552,476,128,256
  5. Step 5: Solve for x
    x = 1,552,476,128,256/593,816
  6. Step 6: Final answer
    x = 2,614,406.03

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.