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Finding the Third Proportional to 490,592 and 1,086,106

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Solution

The third proportional to 490,592 and 1,086,106 is: 2,404,495.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    490,592 : 1,086,106 = 1,086,106 : x
  2. Step 2: Convert to fraction form
    490,592/1,086,106 = 1,086,106/x
  3. Step 3: Cross multiply
    490,592x = 1,086,106 × 1,086,106
  4. Step 4: Simplify right side
    490,592x = 1,179,626,243,236
  5. Step 5: Solve for x
    x = 1,179,626,243,236/490,592
  6. Step 6: Final answer
    x = 2,404,495.47

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These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.