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Finding the Third Proportional to 1,946,647 and 2,603,929

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Solution

The third proportional to 1,946,647 and 2,603,929 is: 3,483,141.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,946,647 : 2,603,929 = 2,603,929 : x
  2. Step 2: Convert to fraction form
    1,946,647/2,603,929 = 2,603,929/x
  3. Step 3: Cross multiply
    1,946,647x = 2,603,929 × 2,603,929
  4. Step 4: Simplify right side
    1,946,647x = 6,780,446,237,041
  5. Step 5: Solve for x
    x = 6,780,446,237,041/1,946,647
  6. Step 6: Final answer
    x = 3,483,141.13

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.