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Finding the Third Proportional to 611,914 and 860,187.50

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Solution

The third proportional to 611,914 and 860,187.50 is: 1,209,193.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    611,914 : 860,187.50 = 860,187.50 : x
  2. Step 2: Convert to fraction form
    611,914/860,187.50 = 860,187.50/x
  3. Step 3: Cross multiply
    611,914x = 860,187.50 × 860,187.50
  4. Step 4: Simplify right side
    611,914x = 739,922,535,156.25
  5. Step 5: Solve for x
    x = 739,922,535,156.25/611,914
  6. Step 6: Final answer
    x = 1,209,193.67

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