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Finding the Third Proportional to 611,922 and 860,196

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Solution

The third proportional to 611,922 and 860,196 is: 1,209,201.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    611,922 : 860,196 = 860,196 : x
  2. Step 2: Convert to fraction form
    611,922/860,196 = 860,196/x
  3. Step 3: Cross multiply
    611,922x = 860,196 × 860,196
  4. Step 4: Simplify right side
    611,922x = 739,937,158,416
  5. Step 5: Solve for x
    x = 739,937,158,416/611,922
  6. Step 6: Final answer
    x = 1,209,201.76

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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.