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Finding the Third Proportional to 2,782,024 and 5,862,938

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Solution

The third proportional to 2,782,024 and 5,862,938 is: 12,355,767.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,782,024 : 5,862,938 = 5,862,938 : x
  2. Step 2: Convert to fraction form
    2,782,024/5,862,938 = 5,862,938/x
  3. Step 3: Cross multiply
    2,782,024x = 5,862,938 × 5,862,938
  4. Step 4: Simplify right side
    2,782,024x = 34,374,041,991,844
  5. Step 5: Solve for x
    x = 34,374,041,991,844/2,782,024
  6. Step 6: Final answer
    x = 12,355,767.60

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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.