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Finding the Third Proportional to 383,973 and 837,822

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Solution

The third proportional to 383,973 and 837,822 is: 1,828,112.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    383,973 : 837,822 = 837,822 : x
  2. Step 2: Convert to fraction form
    383,973/837,822 = 837,822/x
  3. Step 3: Cross multiply
    383,973x = 837,822 × 837,822
  4. Step 4: Simplify right side
    383,973x = 701,945,703,684
  5. Step 5: Solve for x
    x = 701,945,703,684/383,973
  6. Step 6: Final answer
    x = 1,828,112.14

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.