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Finding the Third Proportional to 548,737 and 1,157,251

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Solution

The third proportional to 548,737 and 1,157,251 is: 2,440,567.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    548,737 : 1,157,251 = 1,157,251 : x
  2. Step 2: Convert to fraction form
    548,737/1,157,251 = 1,157,251/x
  3. Step 3: Cross multiply
    548,737x = 1,157,251 × 1,157,251
  4. Step 4: Simplify right side
    548,737x = 1,339,229,877,001
  5. Step 5: Solve for x
    x = 1,339,229,877,001/548,737
  6. Step 6: Final answer
    x = 2,440,567.84

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.