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Finding the Third Proportional to 709,710 and 1,512,327

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Solution

The third proportional to 709,710 and 1,512,327 is: 3,222,630.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    709,710 : 1,512,327 = 1,512,327 : x
  2. Step 2: Convert to fraction form
    709,710/1,512,327 = 1,512,327/x
  3. Step 3: Cross multiply
    709,710x = 1,512,327 × 1,512,327
  4. Step 4: Simplify right side
    709,710x = 2,287,132,954,929
  5. Step 5: Solve for x
    x = 2,287,132,954,929/709,710
  6. Step 6: Final answer
    x = 3,222,630.31

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.