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Finding the Third Proportional to 601,768 and 1,297,578

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Solution

The third proportional to 601,768 and 1,297,578 is: 2,797,936.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    601,768 : 1,297,578 = 1,297,578 : x
  2. Step 2: Convert to fraction form
    601,768/1,297,578 = 1,297,578/x
  3. Step 3: Cross multiply
    601,768x = 1,297,578 × 1,297,578
  4. Step 4: Simplify right side
    601,768x = 1,683,708,666,084
  5. Step 5: Solve for x
    x = 1,683,708,666,084/601,768
  6. Step 6: Final answer
    x = 2,797,936.52

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.