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Finding the Third Proportional to 474,057 and 1,036,797

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Solution

The third proportional to 474,057 and 1,036,797 is: 2,267,550.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    474,057 : 1,036,797 = 1,036,797 : x
  2. Step 2: Convert to fraction form
    474,057/1,036,797 = 1,036,797/x
  3. Step 3: Cross multiply
    474,057x = 1,036,797 × 1,036,797
  4. Step 4: Simplify right side
    474,057x = 1,074,948,019,209
  5. Step 5: Solve for x
    x = 1,074,948,019,209/474,057
  6. Step 6: Final answer
    x = 2,267,550.15

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.