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Finding the Third Proportional to 837,025 and 1,788,962

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Solution

The third proportional to 837,025 and 1,788,962 is: 3,823,523.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    837,025 : 1,788,962 = 1,788,962 : x
  2. Step 2: Convert to fraction form
    837,025/1,788,962 = 1,788,962/x
  3. Step 3: Cross multiply
    837,025x = 1,788,962 × 1,788,962
  4. Step 4: Simplify right side
    837,025x = 3,200,385,037,444
  5. Step 5: Solve for x
    x = 3,200,385,037,444/837,025
  6. Step 6: Final answer
    x = 3,823,523.83

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.