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Finding the Third Proportional to 1,677,216 and 3,683,925

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Solution

The third proportional to 1,677,216 and 3,683,925 is: 8,091,565.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,677,216 : 3,683,925 = 3,683,925 : x
  2. Step 2: Convert to fraction form
    1,677,216/3,683,925 = 3,683,925/x
  3. Step 3: Cross multiply
    1,677,216x = 3,683,925 × 3,683,925
  4. Step 4: Simplify right side
    1,677,216x = 13,571,303,405,625
  5. Step 5: Solve for x
    x = 13,571,303,405,625/1,677,216
  6. Step 6: Final answer
    x = 8,091,565.67

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.