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Finding the Third Proportional to 531,176 and 1,145,296

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Solution

The third proportional to 531,176 and 1,145,296 is: 2,469,431.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    531,176 : 1,145,296 = 1,145,296 : x
  2. Step 2: Convert to fraction form
    531,176/1,145,296 = 1,145,296/x
  3. Step 3: Cross multiply
    531,176x = 1,145,296 × 1,145,296
  4. Step 4: Simplify right side
    531,176x = 1,311,702,927,616
  5. Step 5: Solve for x
    x = 1,311,702,927,616/531,176
  6. Step 6: Final answer
    x = 2,469,431.84

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.