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Finding the Third Proportional to 595,975 and 1,305,321

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Solution

The third proportional to 595,975 and 1,305,321 is: 2,858,950.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    595,975 : 1,305,321 = 1,305,321 : x
  2. Step 2: Convert to fraction form
    595,975/1,305,321 = 1,305,321/x
  3. Step 3: Cross multiply
    595,975x = 1,305,321 × 1,305,321
  4. Step 4: Simplify right side
    595,975x = 1,703,862,913,041
  5. Step 5: Solve for x
    x = 1,703,862,913,041/595,975
  6. Step 6: Final answer
    x = 2,858,950.31

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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.