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Finding the Third Proportional to 513,051 and 789,747.75

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Solution

The third proportional to 513,051 and 789,747.75 is: 1,215,671.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    513,051 : 789,747.75 = 789,747.75 : x
  2. Step 2: Convert to fraction form
    513,051/789,747.75 = 789,747.75/x
  3. Step 3: Cross multiply
    513,051x = 789,747.75 × 789,747.75
  4. Step 4: Simplify right side
    513,051x = 623,701,508,630.06
  5. Step 5: Solve for x
    x = 623,701,508,630.06/513,051
  6. Step 6: Final answer
    x = 1,215,671.56

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.