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Finding the Third Proportional to 797,718 and 1,197,129.50

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Solution

The third proportional to 797,718 and 1,197,129.50 is: 1,796,523.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    797,718 : 1,197,129.50 = 1,197,129.50 : x
  2. Step 2: Convert to fraction form
    797,718/1,197,129.50 = 1,197,129.50/x
  3. Step 3: Cross multiply
    797,718x = 1,197,129.50 × 1,197,129.50
  4. Step 4: Simplify right side
    797,718x = 1,433,119,039,770.25
  5. Step 5: Solve for x
    x = 1,433,119,039,770.25/797,718
  6. Step 6: Final answer
    x = 1,796,523.38

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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.