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Finding the Third Proportional to 827,896 and 1,788,672

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Solution

The third proportional to 827,896 and 1,788,672 is: 3,864,431.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    827,896 : 1,788,672 = 1,788,672 : x
  2. Step 2: Convert to fraction form
    827,896/1,788,672 = 1,788,672/x
  3. Step 3: Cross multiply
    827,896x = 1,788,672 × 1,788,672
  4. Step 4: Simplify right side
    827,896x = 3,199,347,523,584
  5. Step 5: Solve for x
    x = 3,199,347,523,584/827,896
  6. Step 6: Final answer
    x = 3,864,431.67

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.