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Finding the Third Proportional to 663,009 and 982,082

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Solution

The third proportional to 663,009 and 982,082 is: 1,454,708.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    663,009 : 982,082 = 982,082 : x
  2. Step 2: Convert to fraction form
    663,009/982,082 = 982,082/x
  3. Step 3: Cross multiply
    663,009x = 982,082 × 982,082
  4. Step 4: Simplify right side
    663,009x = 964,485,054,724
  5. Step 5: Solve for x
    x = 964,485,054,724/663,009
  6. Step 6: Final answer
    x = 1,454,708.84

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.