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Finding the Third Proportional to 797,731 and 1,197,152

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Solution

The third proportional to 797,731 and 1,197,152 is: 1,796,561.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    797,731 : 1,197,152 = 1,197,152 : x
  2. Step 2: Convert to fraction form
    797,731/1,197,152 = 1,197,152/x
  3. Step 3: Cross multiply
    797,731x = 1,197,152 × 1,197,152
  4. Step 4: Simplify right side
    797,731x = 1,433,172,911,104
  5. Step 5: Solve for x
    x = 1,433,172,911,104/797,731
  6. Step 6: Final answer
    x = 1,796,561.64

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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.