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Finding the Third Proportional to 474,038 and 1,036,759

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Solution

The third proportional to 474,038 and 1,036,759 is: 2,267,474.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    474,038 : 1,036,759 = 1,036,759 : x
  2. Step 2: Convert to fraction form
    474,038/1,036,759 = 1,036,759/x
  3. Step 3: Cross multiply
    474,038x = 1,036,759 × 1,036,759
  4. Step 4: Simplify right side
    474,038x = 1,074,869,224,081
  5. Step 5: Solve for x
    x = 1,074,869,224,081/474,038
  6. Step 6: Final answer
    x = 2,267,474.81

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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.