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Finding the Third Proportional to 996,317 and 1,586,110

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Solution

The third proportional to 996,317 and 1,586,110 is: 2,525,044.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    996,317 : 1,586,110 = 1,586,110 : x
  2. Step 2: Convert to fraction form
    996,317/1,586,110 = 1,586,110/x
  3. Step 3: Cross multiply
    996,317x = 1,586,110 × 1,586,110
  4. Step 4: Simplify right side
    996,317x = 2,515,744,932,100
  5. Step 5: Solve for x
    x = 2,515,744,932,100/996,317
  6. Step 6: Final answer
    x = 2,525,044.67

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.