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Finding the Third Proportional to 599,931 and 843,763

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Solution

The third proportional to 599,931 and 843,763 is: 1,186,696.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    599,931 : 843,763 = 843,763 : x
  2. Step 2: Convert to fraction form
    599,931/843,763 = 843,763/x
  3. Step 3: Cross multiply
    599,931x = 843,763 × 843,763
  4. Step 4: Simplify right side
    599,931x = 711,936,000,169
  5. Step 5: Solve for x
    x = 711,936,000,169/599,931
  6. Step 6: Final answer
    x = 1,186,696.47

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.