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Finding the Third Proportional to 545,450 and 1,166,710

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Solution

The third proportional to 545,450 and 1,166,710 is: 2,495,576.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    545,450 : 1,166,710 = 1,166,710 : x
  2. Step 2: Convert to fraction form
    545,450/1,166,710 = 1,166,710/x
  3. Step 3: Cross multiply
    545,450x = 1,166,710 × 1,166,710
  4. Step 4: Simplify right side
    545,450x = 1,361,212,224,100
  5. Step 5: Solve for x
    x = 1,361,212,224,100/545,450
  6. Step 6: Final answer
    x = 2,495,576.54

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.