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Finding the Third Proportional to 789,894.50 and 1,156,723.50

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Solution

The third proportional to 789,894.50 and 1,156,723.50 is: 1,693,908.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    789,894.50 : 1,156,723.50 = 1,156,723.50 : x
  2. Step 2: Convert to fraction form
    789,894.50/1,156,723.50 = 1,156,723.50/x
  3. Step 3: Cross multiply
    789,894.50x = 1,156,723.50 × 1,156,723.50
  4. Step 4: Simplify right side
    789,894.50x = 1,338,009,255,452.25
  5. Step 5: Solve for x
    x = 1,338,009,255,452.25/789,894.50
  6. Step 6: Final answer
    x = 1,693,908.81

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.