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Finding the Third Proportional to 840,608 and 1,824,106

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Solution

The third proportional to 840,608 and 1,824,106 is: 3,958,281.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    840,608 : 1,824,106 = 1,824,106 : x
  2. Step 2: Convert to fraction form
    840,608/1,824,106 = 1,824,106/x
  3. Step 3: Cross multiply
    840,608x = 1,824,106 × 1,824,106
  4. Step 4: Simplify right side
    840,608x = 3,327,362,699,236
  5. Step 5: Solve for x
    x = 3,327,362,699,236/840,608
  6. Step 6: Final answer
    x = 3,958,281.03

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.