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Finding the Third Proportional to 384,646 and 837,021

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Solution

The third proportional to 384,646 and 837,021 is: 1,821,425.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,646 : 837,021 = 837,021 : x
  2. Step 2: Convert to fraction form
    384,646/837,021 = 837,021/x
  3. Step 3: Cross multiply
    384,646x = 837,021 × 837,021
  4. Step 4: Simplify right side
    384,646x = 700,604,154,441
  5. Step 5: Solve for x
    x = 700,604,154,441/384,646
  6. Step 6: Final answer
    x = 1,821,425.82

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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.