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Finding the Third Proportional to 545,630 and 825,991

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Solution

The third proportional to 545,630 and 825,991 is: 1,250,409.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    545,630 : 825,991 = 825,991 : x
  2. Step 2: Convert to fraction form
    545,630/825,991 = 825,991/x
  3. Step 3: Cross multiply
    545,630x = 825,991 × 825,991
  4. Step 4: Simplify right side
    545,630x = 682,261,132,081
  5. Step 5: Solve for x
    x = 682,261,132,081/545,630
  6. Step 6: Final answer
    x = 1,250,409.86

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Why These Related Problems?

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