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Finding the Third Proportional to 546,008 and 826,652

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Solution

The third proportional to 546,008 and 826,652 is: 1,251,544.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    546,008 : 826,652 = 826,652 : x
  2. Step 2: Convert to fraction form
    546,008/826,652 = 826,652/x
  3. Step 3: Cross multiply
    546,008x = 826,652 × 826,652
  4. Step 4: Simplify right side
    546,008x = 683,353,529,104
  5. Step 5: Solve for x
    x = 683,353,529,104/546,008
  6. Step 6: Final answer
    x = 1,251,544.90

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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.