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Finding the Third Proportional to 813,928 and 1,197,361

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Solution

The third proportional to 813,928 and 1,197,361 is: 1,761,425.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    813,928 : 1,197,361 = 1,197,361 : x
  2. Step 2: Convert to fraction form
    813,928/1,197,361 = 1,197,361/x
  3. Step 3: Cross multiply
    813,928x = 1,197,361 × 1,197,361
  4. Step 4: Simplify right side
    813,928x = 1,433,673,364,321
  5. Step 5: Solve for x
    x = 1,433,673,364,321/813,928
  6. Step 6: Final answer
    x = 1,761,425.29

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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.