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Finding the Third Proportional to 384,954 and 837,639

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Solution

The third proportional to 384,954 and 837,639 is: 1,822,656.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,954 : 837,639 = 837,639 : x
  2. Step 2: Convert to fraction form
    384,954/837,639 = 837,639/x
  3. Step 3: Cross multiply
    384,954x = 837,639 × 837,639
  4. Step 4: Simplify right side
    384,954x = 701,639,094,321
  5. Step 5: Solve for x
    x = 701,639,094,321/384,954
  6. Step 6: Final answer
    x = 1,822,656.98

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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.