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Finding the Third Proportional to 578,460 and 1,245,717

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Solution

The third proportional to 578,460 and 1,245,717 is: 2,682,658.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    578,460 : 1,245,717 = 1,245,717 : x
  2. Step 2: Convert to fraction form
    578,460/1,245,717 = 1,245,717/x
  3. Step 3: Cross multiply
    578,460x = 1,245,717 × 1,245,717
  4. Step 4: Simplify right side
    578,460x = 1,551,810,844,089
  5. Step 5: Solve for x
    x = 1,551,810,844,089/578,460
  6. Step 6: Final answer
    x = 2,682,658.86

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.