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Finding the Third Proportional to 609,496 and 929,714

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Solution

The third proportional to 609,496 and 929,714 is: 1,418,168.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    609,496 : 929,714 = 929,714 : x
  2. Step 2: Convert to fraction form
    609,496/929,714 = 929,714/x
  3. Step 3: Cross multiply
    609,496x = 929,714 × 929,714
  4. Step 4: Simplify right side
    609,496x = 864,368,121,796
  5. Step 5: Solve for x
    x = 864,368,121,796/609,496
  6. Step 6: Final answer
    x = 1,418,168.65

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.