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Finding the Third Proportional to 797,256 and 1,193,688

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Solution

The third proportional to 797,256 and 1,193,688 is: 1,787,244.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    797,256 : 1,193,688 = 1,193,688 : x
  2. Step 2: Convert to fraction form
    797,256/1,193,688 = 1,193,688/x
  3. Step 3: Cross multiply
    797,256x = 1,193,688 × 1,193,688
  4. Step 4: Simplify right side
    797,256x = 1,424,891,041,344
  5. Step 5: Solve for x
    x = 1,424,891,041,344/797,256
  6. Step 6: Final answer
    x = 1,787,244.05

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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.