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Finding the Third Proportional to 546,048 and 826,704

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Solution

The third proportional to 546,048 and 826,704 is: 1,251,610.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    546,048 : 826,704 = 826,704 : x
  2. Step 2: Convert to fraction form
    546,048/826,704 = 826,704/x
  3. Step 3: Cross multiply
    546,048x = 826,704 × 826,704
  4. Step 4: Simplify right side
    546,048x = 683,439,503,616
  5. Step 5: Solve for x
    x = 683,439,503,616/546,048
  6. Step 6: Final answer
    x = 1,251,610.67

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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.