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Finding the Third Proportional to 389,698 and 837,413

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Solution

The third proportional to 389,698 and 837,413 is: 1,799,497.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    389,698 : 837,413 = 837,413 : x
  2. Step 2: Convert to fraction form
    389,698/837,413 = 837,413/x
  3. Step 3: Cross multiply
    389,698x = 837,413 × 837,413
  4. Step 4: Simplify right side
    389,698x = 701,260,532,569
  5. Step 5: Solve for x
    x = 701,260,532,569/389,698
  6. Step 6: Final answer
    x = 1,799,497.39

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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.