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Finding the Third Proportional to 546,072 and 826,740

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Solution

The third proportional to 546,072 and 826,740 is: 1,251,664.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    546,072 : 826,740 = 826,740 : x
  2. Step 2: Convert to fraction form
    546,072/826,740 = 826,740/x
  3. Step 3: Cross multiply
    546,072x = 826,740 × 826,740
  4. Step 4: Simplify right side
    546,072x = 683,499,027,600
  5. Step 5: Solve for x
    x = 683,499,027,600/546,072
  6. Step 6: Final answer
    x = 1,251,664.67

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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.