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Finding the Third Proportional to 486,812 and 1,048,522

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Solution

The third proportional to 486,812 and 1,048,522 is: 2,258,363.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    486,812 : 1,048,522 = 1,048,522 : x
  2. Step 2: Convert to fraction form
    486,812/1,048,522 = 1,048,522/x
  3. Step 3: Cross multiply
    486,812x = 1,048,522 × 1,048,522
  4. Step 4: Simplify right side
    486,812x = 1,099,398,384,484
  5. Step 5: Solve for x
    x = 1,099,398,384,484/486,812
  6. Step 6: Final answer
    x = 2,258,363.36

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.