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Finding the Third Proportional to 1,477,980 and 3,176,964

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Solution

The third proportional to 1,477,980 and 3,176,964 is: 6,828,982.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,477,980 : 3,176,964 = 3,176,964 : x
  2. Step 2: Convert to fraction form
    1,477,980/3,176,964 = 3,176,964/x
  3. Step 3: Cross multiply
    1,477,980x = 3,176,964 × 3,176,964
  4. Step 4: Simplify right side
    1,477,980x = 10,093,100,257,296
  5. Step 5: Solve for x
    x = 10,093,100,257,296/1,477,980
  6. Step 6: Final answer
    x = 6,828,982.97

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.