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Finding the Third Proportional to 2,085,970 and 4,396,122

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Solution

The third proportional to 2,085,970 and 4,396,122 is: 9,264,701.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,085,970 : 4,396,122 = 4,396,122 : x
  2. Step 2: Convert to fraction form
    2,085,970/4,396,122 = 4,396,122/x
  3. Step 3: Cross multiply
    2,085,970x = 4,396,122 × 4,396,122
  4. Step 4: Simplify right side
    2,085,970x = 19,325,888,638,884
  5. Step 5: Solve for x
    x = 19,325,888,638,884/2,085,970
  6. Step 6: Final answer
    x = 9,264,701.14

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These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.