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Finding the Third Proportional to 598,084 and 891,942

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Solution

The third proportional to 598,084 and 891,942 is: 1,330,181.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    598,084 : 891,942 = 891,942 : x
  2. Step 2: Convert to fraction form
    598,084/891,942 = 891,942/x
  3. Step 3: Cross multiply
    598,084x = 891,942 × 891,942
  4. Step 4: Simplify right side
    598,084x = 795,560,531,364
  5. Step 5: Solve for x
    x = 795,560,531,364/598,084
  6. Step 6: Final answer
    x = 1,330,181.93

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.