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Finding the Third Proportional to 1,302,948 and 1,993,170.38

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Solution

The third proportional to 1,302,948 and 1,993,170.38 is: 3,049,030.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,302,948 : 1,993,170.38 = 1,993,170.38 : x
  2. Step 2: Convert to fraction form
    1,302,948/1,993,170.38 = 1,993,170.38/x
  3. Step 3: Cross multiply
    1,302,948x = 1,993,170.38 × 1,993,170.38
  4. Step 4: Simplify right side
    1,302,948x = 3,972,728,143,777.64
  5. Step 5: Solve for x
    x = 3,972,728,143,777.64/1,302,948
  6. Step 6: Final answer
    x = 3,049,030.46

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.