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Finding the Third Proportional to 715,264 and 1,489,304

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Solution

The third proportional to 715,264 and 1,489,304 is: 3,100,989.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    715,264 : 1,489,304 = 1,489,304 : x
  2. Step 2: Convert to fraction form
    715,264/1,489,304 = 1,489,304/x
  3. Step 3: Cross multiply
    715,264x = 1,489,304 × 1,489,304
  4. Step 4: Simplify right side
    715,264x = 2,218,026,404,416
  5. Step 5: Solve for x
    x = 2,218,026,404,416/715,264
  6. Step 6: Final answer
    x = 3,100,989.85

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.