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Finding the Third Proportional to 598,559 and 839,886

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Solution

The third proportional to 598,559 and 839,886 is: 1,178,511.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    598,559 : 839,886 = 839,886 : x
  2. Step 2: Convert to fraction form
    598,559/839,886 = 839,886/x
  3. Step 3: Cross multiply
    598,559x = 839,886 × 839,886
  4. Step 4: Simplify right side
    598,559x = 705,408,492,996
  5. Step 5: Solve for x
    x = 705,408,492,996/598,559
  6. Step 6: Final answer
    x = 1,178,511.21

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.