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Finding the Third Proportional to 784,898.50 and 1,183,500

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Solution

The third proportional to 784,898.50 and 1,183,500 is: 1,784,526.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    784,898.50 : 1,183,500 = 1,183,500 : x
  2. Step 2: Convert to fraction form
    784,898.50/1,183,500 = 1,183,500/x
  3. Step 3: Cross multiply
    784,898.50x = 1,183,500 × 1,183,500
  4. Step 4: Simplify right side
    784,898.50x = 1,400,672,250,000
  5. Step 5: Solve for x
    x = 1,400,672,250,000/784,898.50
  6. Step 6: Final answer
    x = 1,784,526.60

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.