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Finding the Third Proportional to 405,896.06 and 880,961.06

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Solution

The third proportional to 405,896.06 and 880,961.06 is: 1,912,047.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,896.06 : 880,961.06 = 880,961.06 : x
  2. Step 2: Convert to fraction form
    405,896.06/880,961.06 = 880,961.06/x
  3. Step 3: Cross multiply
    405,896.06x = 880,961.06 × 880,961.06
  4. Step 4: Simplify right side
    405,896.06x = 776,092,393,641.13
  5. Step 5: Solve for x
    x = 776,092,393,641.13/405,896.06
  6. Step 6: Final answer
    x = 1,912,047.11

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.