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Finding the Third Proportional to 389,901 and 837,820.50

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Solution

The third proportional to 389,901 and 837,820.50 is: 1,800,311.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    389,901 : 837,820.50 = 837,820.50 : x
  2. Step 2: Convert to fraction form
    389,901/837,820.50 = 837,820.50/x
  3. Step 3: Cross multiply
    389,901x = 837,820.50 × 837,820.50
  4. Step 4: Simplify right side
    389,901x = 701,943,190,220.25
  5. Step 5: Solve for x
    x = 701,943,190,220.25/389,901
  6. Step 6: Final answer
    x = 1,800,311.34

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.