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Finding the Third Proportional to 797,798 and 1,197,256

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Solution

The third proportional to 797,798 and 1,197,256 is: 1,796,722.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    797,798 : 1,197,256 = 1,197,256 : x
  2. Step 2: Convert to fraction form
    797,798/1,197,256 = 1,197,256/x
  3. Step 3: Cross multiply
    797,798x = 1,197,256 × 1,197,256
  4. Step 4: Simplify right side
    797,798x = 1,433,421,929,536
  5. Step 5: Solve for x
    x = 1,433,421,929,536/797,798
  6. Step 6: Final answer
    x = 1,796,722.89

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.