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Finding the Third Proportional to 471,441 and 989,082

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Solution

The third proportional to 471,441 and 989,082 is: 2,075,091.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,441 : 989,082 = 989,082 : x
  2. Step 2: Convert to fraction form
    471,441/989,082 = 989,082/x
  3. Step 3: Cross multiply
    471,441x = 989,082 × 989,082
  4. Step 4: Simplify right side
    471,441x = 978,283,202,724
  5. Step 5: Solve for x
    x = 978,283,202,724/471,441
  6. Step 6: Final answer
    x = 2,075,091.48

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.