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Finding the Third Proportional to 701,948 and 1,085,997

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Solution

The third proportional to 701,948 and 1,085,997 is: 1,680,166.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    701,948 : 1,085,997 = 1,085,997 : x
  2. Step 2: Convert to fraction form
    701,948/1,085,997 = 1,085,997/x
  3. Step 3: Cross multiply
    701,948x = 1,085,997 × 1,085,997
  4. Step 4: Simplify right side
    701,948x = 1,179,389,484,009
  5. Step 5: Solve for x
    x = 1,179,389,484,009/701,948
  6. Step 6: Final answer
    x = 1,680,166.46

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.