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Finding the Third Proportional to 938,968 and 2,050,000

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Solution

The third proportional to 938,968 and 2,050,000 is: 4,475,658.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    938,968 : 2,050,000 = 2,050,000 : x
  2. Step 2: Convert to fraction form
    938,968/2,050,000 = 2,050,000/x
  3. Step 3: Cross multiply
    938,968x = 2,050,000 × 2,050,000
  4. Step 4: Simplify right side
    938,968x = 4,202,500,000,000
  5. Step 5: Solve for x
    x = 4,202,500,000,000/938,968
  6. Step 6: Final answer
    x = 4,475,658.38

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.