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Finding the Third Proportional to 474,023 and 1,036,727

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Solution

The third proportional to 474,023 and 1,036,727 is: 2,267,406.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    474,023 : 1,036,727 = 1,036,727 : x
  2. Step 2: Convert to fraction form
    474,023/1,036,727 = 1,036,727/x
  3. Step 3: Cross multiply
    474,023x = 1,036,727 × 1,036,727
  4. Step 4: Simplify right side
    474,023x = 1,074,802,872,529
  5. Step 5: Solve for x
    x = 1,074,802,872,529/474,023
  6. Step 6: Final answer
    x = 2,267,406.59

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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.