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Finding the Third Proportional to 715,744 and 1,514,288

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Solution

The third proportional to 715,744 and 1,514,288 is: 3,203,754.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    715,744 : 1,514,288 = 1,514,288 : x
  2. Step 2: Convert to fraction form
    715,744/1,514,288 = 1,514,288/x
  3. Step 3: Cross multiply
    715,744x = 1,514,288 × 1,514,288
  4. Step 4: Simplify right side
    715,744x = 2,293,068,146,944
  5. Step 5: Solve for x
    x = 2,293,068,146,944/715,744
  6. Step 6: Final answer
    x = 3,203,754.62

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These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.