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Finding the Third Proportional to 758,694 and 1,635,012

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Solution

The third proportional to 758,694 and 1,635,012 is: 3,523,507.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    758,694 : 1,635,012 = 1,635,012 : x
  2. Step 2: Convert to fraction form
    758,694/1,635,012 = 1,635,012/x
  3. Step 3: Cross multiply
    758,694x = 1,635,012 × 1,635,012
  4. Step 4: Simplify right side
    758,694x = 2,673,264,240,144
  5. Step 5: Solve for x
    x = 2,673,264,240,144/758,694
  6. Step 6: Final answer
    x = 3,523,507.82

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.