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Finding the Third Proportional to 389,716 and 837,448

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Solution

The third proportional to 389,716 and 837,448 is: 1,799,564.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    389,716 : 837,448 = 837,448 : x
  2. Step 2: Convert to fraction form
    389,716/837,448 = 837,448/x
  3. Step 3: Cross multiply
    389,716x = 837,448 × 837,448
  4. Step 4: Simplify right side
    389,716x = 701,319,152,704
  5. Step 5: Solve for x
    x = 701,319,152,704/389,716
  6. Step 6: Final answer
    x = 1,799,564.69

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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.