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Finding the Third Proportional to 382,698 and 837,972

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Solution

The third proportional to 382,698 and 837,972 is: 1,834,859.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,698 : 837,972 = 837,972 : x
  2. Step 2: Convert to fraction form
    382,698/837,972 = 837,972/x
  3. Step 3: Cross multiply
    382,698x = 837,972 × 837,972
  4. Step 4: Simplify right side
    382,698x = 702,197,072,784
  5. Step 5: Solve for x
    x = 702,197,072,784/382,698
  6. Step 6: Final answer
    x = 1,834,859.53

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.