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Finding the Third Proportional to 3,822,406 and 8,400,146

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Solution

The third proportional to 3,822,406 and 8,400,146 is: 18,460,219.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,822,406 : 8,400,146 = 8,400,146 : x
  2. Step 2: Convert to fraction form
    3,822,406/8,400,146 = 8,400,146/x
  3. Step 3: Cross multiply
    3,822,406x = 8,400,146 × 8,400,146
  4. Step 4: Simplify right side
    3,822,406x = 70,562,452,821,316
  5. Step 5: Solve for x
    x = 70,562,452,821,316/3,822,406
  6. Step 6: Final answer
    x = 18,460,219.25

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.