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Finding the Third Proportional to 374,028 and 822,777

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Solution

The third proportional to 374,028 and 822,777 is: 1,809,923.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    374,028 : 822,777 = 822,777 : x
  2. Step 2: Convert to fraction form
    374,028/822,777 = 822,777/x
  3. Step 3: Cross multiply
    374,028x = 822,777 × 822,777
  4. Step 4: Simplify right side
    374,028x = 676,961,991,729
  5. Step 5: Solve for x
    x = 676,961,991,729/374,028
  6. Step 6: Final answer
    x = 1,809,923.30

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.