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Finding the Third Proportional to 569,063 and 1,190,736

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Solution

The third proportional to 569,063 and 1,190,736 is: 2,491,555.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    569,063 : 1,190,736 = 1,190,736 : x
  2. Step 2: Convert to fraction form
    569,063/1,190,736 = 1,190,736/x
  3. Step 3: Cross multiply
    569,063x = 1,190,736 × 1,190,736
  4. Step 4: Simplify right side
    569,063x = 1,417,852,221,696
  5. Step 5: Solve for x
    x = 1,417,852,221,696/569,063
  6. Step 6: Final answer
    x = 2,491,555.81

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.