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Finding the Third Proportional to 793,820 and 1,198,101

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Solution

The third proportional to 793,820 and 1,198,101 is: 1,808,276.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    793,820 : 1,198,101 = 1,198,101 : x
  2. Step 2: Convert to fraction form
    793,820/1,198,101 = 1,198,101/x
  3. Step 3: Cross multiply
    793,820x = 1,198,101 × 1,198,101
  4. Step 4: Simplify right side
    793,820x = 1,435,446,006,201
  5. Step 5: Solve for x
    x = 1,435,446,006,201/793,820
  6. Step 6: Final answer
    x = 1,808,276.44

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.