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Finding the Third Proportional to 837,914 and 1,821,628

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Solution

The third proportional to 837,914 and 1,821,628 is: 3,960,225.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    837,914 : 1,821,628 = 1,821,628 : x
  2. Step 2: Convert to fraction form
    837,914/1,821,628 = 1,821,628/x
  3. Step 3: Cross multiply
    837,914x = 1,821,628 × 1,821,628
  4. Step 4: Simplify right side
    837,914x = 3,318,328,570,384
  5. Step 5: Solve for x
    x = 3,318,328,570,384/837,914
  6. Step 6: Final answer
    x = 3,960,225.72

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.