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Finding the Third Proportional to 623,116 and 933,627

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Solution

The third proportional to 623,116 and 933,627 is: 1,398,871.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    623,116 : 933,627 = 933,627 : x
  2. Step 2: Convert to fraction form
    623,116/933,627 = 933,627/x
  3. Step 3: Cross multiply
    623,116x = 933,627 × 933,627
  4. Step 4: Simplify right side
    623,116x = 871,659,375,129
  5. Step 5: Solve for x
    x = 871,659,375,129/623,116
  6. Step 6: Final answer
    x = 1,398,871.76

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.