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Finding the Third Proportional to 1,001,082 and 2,159,664

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Solution

The third proportional to 1,001,082 and 2,159,664 is: 4,659,107.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,001,082 : 2,159,664 = 2,159,664 : x
  2. Step 2: Convert to fraction form
    1,001,082/2,159,664 = 2,159,664/x
  3. Step 3: Cross multiply
    1,001,082x = 2,159,664 × 2,159,664
  4. Step 4: Simplify right side
    1,001,082x = 4,664,148,592,896
  5. Step 5: Solve for x
    x = 4,664,148,592,896/1,001,082
  6. Step 6: Final answer
    x = 4,659,107.44

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.