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Finding the Third Proportional to 476,965 and 1,036,759

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Solution

The third proportional to 476,965 and 1,036,759 is: 2,253,559.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    476,965 : 1,036,759 = 1,036,759 : x
  2. Step 2: Convert to fraction form
    476,965/1,036,759 = 1,036,759/x
  3. Step 3: Cross multiply
    476,965x = 1,036,759 × 1,036,759
  4. Step 4: Simplify right side
    476,965x = 1,074,869,224,081
  5. Step 5: Solve for x
    x = 1,074,869,224,081/476,965
  6. Step 6: Final answer
    x = 2,253,559.96

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.