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Finding the Third Proportional to 689,328 and 1,514,722

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Solution

The third proportional to 689,328 and 1,514,722 is: 3,328,433.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    689,328 : 1,514,722 = 1,514,722 : x
  2. Step 2: Convert to fraction form
    689,328/1,514,722 = 1,514,722/x
  3. Step 3: Cross multiply
    689,328x = 1,514,722 × 1,514,722
  4. Step 4: Simplify right side
    689,328x = 2,294,382,737,284
  5. Step 5: Solve for x
    x = 2,294,382,737,284/689,328
  6. Step 6: Final answer
    x = 3,328,433.98

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.