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Finding the Third Proportional to 717,514 and 1,509,384

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Solution

The third proportional to 717,514 and 1,509,384 is: 3,175,185.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    717,514 : 1,509,384 = 1,509,384 : x
  2. Step 2: Convert to fraction form
    717,514/1,509,384 = 1,509,384/x
  3. Step 3: Cross multiply
    717,514x = 1,509,384 × 1,509,384
  4. Step 4: Simplify right side
    717,514x = 2,278,240,059,456
  5. Step 5: Solve for x
    x = 2,278,240,059,456/717,514
  6. Step 6: Final answer
    x = 3,175,185.51

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.