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Finding the Third Proportional to 698,048 and 1,107,116

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Solution

The third proportional to 698,048 and 1,107,116 is: 1,755,904.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    698,048 : 1,107,116 = 1,107,116 : x
  2. Step 2: Convert to fraction form
    698,048/1,107,116 = 1,107,116/x
  3. Step 3: Cross multiply
    698,048x = 1,107,116 × 1,107,116
  4. Step 4: Simplify right side
    698,048x = 1,225,705,837,456
  5. Step 5: Solve for x
    x = 1,225,705,837,456/698,048
  6. Step 6: Final answer
    x = 1,755,904.81

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