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Finding the Third Proportional to 938,980 and 1,994,312

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Solution

The third proportional to 938,980 and 1,994,312 is: 4,235,745.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    938,980 : 1,994,312 = 1,994,312 : x
  2. Step 2: Convert to fraction form
    938,980/1,994,312 = 1,994,312/x
  3. Step 3: Cross multiply
    938,980x = 1,994,312 × 1,994,312
  4. Step 4: Simplify right side
    938,980x = 3,977,280,353,344
  5. Step 5: Solve for x
    x = 3,977,280,353,344/938,980
  6. Step 6: Final answer
    x = 4,235,745.55

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.