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Finding the Third Proportional to 384,957 and 837,645

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Solution

The third proportional to 384,957 and 837,645 is: 1,822,668.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,957 : 837,645 = 837,645 : x
  2. Step 2: Convert to fraction form
    384,957/837,645 = 837,645/x
  3. Step 3: Cross multiply
    384,957x = 837,645 × 837,645
  4. Step 4: Simplify right side
    384,957x = 701,649,146,025
  5. Step 5: Solve for x
    x = 701,649,146,025/384,957
  6. Step 6: Final answer
    x = 1,822,668.89

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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.