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Finding the Third Proportional to 797,733 and 1,197,155

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Solution

The third proportional to 797,733 and 1,197,155 is: 1,796,566.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    797,733 : 1,197,155 = 1,197,155 : x
  2. Step 2: Convert to fraction form
    797,733/1,197,155 = 1,197,155/x
  3. Step 3: Cross multiply
    797,733x = 1,197,155 × 1,197,155
  4. Step 4: Simplify right side
    797,733x = 1,433,180,094,025
  5. Step 5: Solve for x
    x = 1,433,180,094,025/797,733
  6. Step 6: Final answer
    x = 1,796,566.14

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Why These Related Problems?

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