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Finding the Third Proportional to 830,524.50 and 1,784,650.50

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Solution

The third proportional to 830,524.50 and 1,784,650.50 is: 3,834,898.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    830,524.50 : 1,784,650.50 = 1,784,650.50 : x
  2. Step 2: Convert to fraction form
    830,524.50/1,784,650.50 = 1,784,650.50/x
  3. Step 3: Cross multiply
    830,524.50x = 1,784,650.50 × 1,784,650.50
  4. Step 4: Simplify right side
    830,524.50x = 3,184,977,407,150.25
  5. Step 5: Solve for x
    x = 3,184,977,407,150.25/830,524.50
  6. Step 6: Final answer
    x = 3,834,898.80

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.