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Finding the Third Proportional to 605,948 and 1,318,303

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Solution

The third proportional to 605,948 and 1,318,303 is: 2,868,105.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    605,948 : 1,318,303 = 1,318,303 : x
  2. Step 2: Convert to fraction form
    605,948/1,318,303 = 1,318,303/x
  3. Step 3: Cross multiply
    605,948x = 1,318,303 × 1,318,303
  4. Step 4: Simplify right side
    605,948x = 1,737,922,799,809
  5. Step 5: Solve for x
    x = 1,737,922,799,809/605,948
  6. Step 6: Final answer
    x = 2,868,105.51

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.