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Finding the Third Proportional to 566,798 and 1,197,577

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Solution

The third proportional to 566,798 and 1,197,577 is: 2,530,338.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    566,798 : 1,197,577 = 1,197,577 : x
  2. Step 2: Convert to fraction form
    566,798/1,197,577 = 1,197,577/x
  3. Step 3: Cross multiply
    566,798x = 1,197,577 × 1,197,577
  4. Step 4: Simplify right side
    566,798x = 1,434,190,670,929
  5. Step 5: Solve for x
    x = 1,434,190,670,929/566,798
  6. Step 6: Final answer
    x = 2,530,338.27

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.