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Finding the Third Proportional to 407,161 and 881,341.75

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Solution

The third proportional to 407,161 and 881,341.75 is: 1,907,754.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,161 : 881,341.75 = 881,341.75 : x
  2. Step 2: Convert to fraction form
    407,161/881,341.75 = 881,341.75/x
  3. Step 3: Cross multiply
    407,161x = 881,341.75 × 881,341.75
  4. Step 4: Simplify right side
    407,161x = 776,763,280,293.06
  5. Step 5: Solve for x
    x = 776,763,280,293.06/407,161
  6. Step 6: Final answer
    x = 1,907,754.62

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.