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Finding the Third Proportional to 813,922 and 1,197,350

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Solution

The third proportional to 813,922 and 1,197,350 is: 1,761,405.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    813,922 : 1,197,350 = 1,197,350 : x
  2. Step 2: Convert to fraction form
    813,922/1,197,350 = 1,197,350/x
  3. Step 3: Cross multiply
    813,922x = 1,197,350 × 1,197,350
  4. Step 4: Simplify right side
    813,922x = 1,433,647,022,500
  5. Step 5: Solve for x
    x = 1,433,647,022,500/813,922
  6. Step 6: Final answer
    x = 1,761,405.91

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.