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Finding the Third Proportional to 474,682 and 1,036,892

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Solution

The third proportional to 474,682 and 1,036,892 is: 2,264,979.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    474,682 : 1,036,892 = 1,036,892 : x
  2. Step 2: Convert to fraction form
    474,682/1,036,892 = 1,036,892/x
  3. Step 3: Cross multiply
    474,682x = 1,036,892 × 1,036,892
  4. Step 4: Simplify right side
    474,682x = 1,075,145,019,664
  5. Step 5: Solve for x
    x = 1,075,145,019,664/474,682
  6. Step 6: Final answer
    x = 2,264,979.54

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