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Finding the Third Proportional to 2,782,038 and 5,862,966

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Solution

The third proportional to 2,782,038 and 5,862,966 is: 12,355,823.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,782,038 : 5,862,966 = 5,862,966 : x
  2. Step 2: Convert to fraction form
    2,782,038/5,862,966 = 5,862,966/x
  3. Step 3: Cross multiply
    2,782,038x = 5,862,966 × 5,862,966
  4. Step 4: Simplify right side
    2,782,038x = 34,374,370,317,156
  5. Step 5: Solve for x
    x = 34,374,370,317,156/2,782,038
  6. Step 6: Final answer
    x = 12,355,823.43

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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.