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Finding the Third Proportional to 637,004 and 1,380,279

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Solution

The third proportional to 637,004 and 1,380,279 is: 2,990,829.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    637,004 : 1,380,279 = 1,380,279 : x
  2. Step 2: Convert to fraction form
    637,004/1,380,279 = 1,380,279/x
  3. Step 3: Cross multiply
    637,004x = 1,380,279 × 1,380,279
  4. Step 4: Simplify right side
    637,004x = 1,905,170,117,841
  5. Step 5: Solve for x
    x = 1,905,170,117,841/637,004
  6. Step 6: Final answer
    x = 2,990,829.13

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.