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Finding the Third Proportional to 813,944 and 1,197,406

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Solution

The third proportional to 813,944 and 1,197,406 is: 1,761,523.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    813,944 : 1,197,406 = 1,197,406 : x
  2. Step 2: Convert to fraction form
    813,944/1,197,406 = 1,197,406/x
  3. Step 3: Cross multiply
    813,944x = 1,197,406 × 1,197,406
  4. Step 4: Simplify right side
    813,944x = 1,433,781,128,836
  5. Step 5: Solve for x
    x = 1,433,781,128,836/813,944
  6. Step 6: Final answer
    x = 1,761,523.06

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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.