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Finding the Third Proportional to 611,825 and 860,054

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Solution

The third proportional to 611,825 and 860,054 is: 1,208,994.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    611,825 : 860,054 = 860,054 : x
  2. Step 2: Convert to fraction form
    611,825/860,054 = 860,054/x
  3. Step 3: Cross multiply
    611,825x = 860,054 × 860,054
  4. Step 4: Simplify right side
    611,825x = 739,692,882,916
  5. Step 5: Solve for x
    x = 739,692,882,916/611,825
  6. Step 6: Final answer
    x = 1,208,994.21

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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.