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Finding the Third Proportional to 641,811 and 1,301,319

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Solution

The third proportional to 641,811 and 1,301,319 is: 2,638,519.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    641,811 : 1,301,319 = 1,301,319 : x
  2. Step 2: Convert to fraction form
    641,811/1,301,319 = 1,301,319/x
  3. Step 3: Cross multiply
    641,811x = 1,301,319 × 1,301,319
  4. Step 4: Simplify right side
    641,811x = 1,693,431,139,761
  5. Step 5: Solve for x
    x = 1,693,431,139,761/641,811
  6. Step 6: Final answer
    x = 2,638,519.97

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.