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Finding the Third Proportional to 405,897.75 and 880,964.44

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Solution

The third proportional to 405,897.75 and 880,964.44 is: 1,912,053.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,897.75 : 880,964.44 = 880,964.44 : x
  2. Step 2: Convert to fraction form
    405,897.75/880,964.44 = 880,964.44/x
  3. Step 3: Cross multiply
    405,897.75x = 880,964.44 × 880,964.44
  4. Step 4: Simplify right side
    405,897.75x = 776,098,340,139.69
  5. Step 5: Solve for x
    x = 776,098,340,139.69/405,897.75
  6. Step 6: Final answer
    x = 1,912,053.81

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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.