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Finding the Third Proportional to 982,152 and 2,151,696

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Solution

The third proportional to 982,152 and 2,151,696 is: 4,713,929.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    982,152 : 2,151,696 = 2,151,696 : x
  2. Step 2: Convert to fraction form
    982,152/2,151,696 = 2,151,696/x
  3. Step 3: Cross multiply
    982,152x = 2,151,696 × 2,151,696
  4. Step 4: Simplify right side
    982,152x = 4,629,795,676,416
  5. Step 5: Solve for x
    x = 4,629,795,676,416/982,152
  6. Step 6: Final answer
    x = 4,713,929.90

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.