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Finding the Third Proportional to 610,422 and 933,777

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Solution

The third proportional to 610,422 and 933,777 is: 1,428,420.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    610,422 : 933,777 = 933,777 : x
  2. Step 2: Convert to fraction form
    610,422/933,777 = 933,777/x
  3. Step 3: Cross multiply
    610,422x = 933,777 × 933,777
  4. Step 4: Simplify right side
    610,422x = 871,939,485,729
  5. Step 5: Solve for x
    x = 871,939,485,729/610,422
  6. Step 6: Final answer
    x = 1,428,420.81

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.