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Finding the Third Proportional to 545,416.50 and 1,189,977

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Solution

The third proportional to 545,416.50 and 1,189,977 is: 2,596,264.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    545,416.50 : 1,189,977 = 1,189,977 : x
  2. Step 2: Convert to fraction form
    545,416.50/1,189,977 = 1,189,977/x
  3. Step 3: Cross multiply
    545,416.50x = 1,189,977 × 1,189,977
  4. Step 4: Simplify right side
    545,416.50x = 1,416,045,260,529
  5. Step 5: Solve for x
    x = 1,416,045,260,529/545,416.50
  6. Step 6: Final answer
    x = 2,596,264.07

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.