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Finding the Third Proportional to 689,334 and 1,514,739

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Solution

The third proportional to 689,334 and 1,514,739 is: 3,328,479.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    689,334 : 1,514,739 = 1,514,739 : x
  2. Step 2: Convert to fraction form
    689,334/1,514,739 = 1,514,739/x
  3. Step 3: Cross multiply
    689,334x = 1,514,739 × 1,514,739
  4. Step 4: Simplify right side
    689,334x = 2,294,434,238,121
  5. Step 5: Solve for x
    x = 2,294,434,238,121/689,334
  6. Step 6: Final answer
    x = 3,328,479.72

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Why These Related Problems?

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