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Finding the Third Proportional to 671,409 and 1,373,841

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Solution

The third proportional to 671,409 and 1,373,841 is: 2,811,161.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    671,409 : 1,373,841 = 1,373,841 : x
  2. Step 2: Convert to fraction form
    671,409/1,373,841 = 1,373,841/x
  3. Step 3: Cross multiply
    671,409x = 1,373,841 × 1,373,841
  4. Step 4: Simplify right side
    671,409x = 1,887,439,093,281
  5. Step 5: Solve for x
    x = 1,887,439,093,281/671,409
  6. Step 6: Final answer
    x = 2,811,161.44

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.