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Finding the Third Proportional to 389,743 and 837,501

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Solution

The third proportional to 389,743 and 837,501 is: 1,799,667.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    389,743 : 837,501 = 837,501 : x
  2. Step 2: Convert to fraction form
    389,743/837,501 = 837,501/x
  3. Step 3: Cross multiply
    389,743x = 837,501 × 837,501
  4. Step 4: Simplify right side
    389,743x = 701,407,925,001
  5. Step 5: Solve for x
    x = 701,407,925,001/389,743
  6. Step 6: Final answer
    x = 1,799,667.79

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.