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Finding the Third Proportional to 407,997 and 881,685

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Solution

The third proportional to 407,997 and 881,685 is: 1,905,328.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,997 : 881,685 = 881,685 : x
  2. Step 2: Convert to fraction form
    407,997/881,685 = 881,685/x
  3. Step 3: Cross multiply
    407,997x = 881,685 × 881,685
  4. Step 4: Simplify right side
    407,997x = 777,368,439,225
  5. Step 5: Solve for x
    x = 777,368,439,225/407,997
  6. Step 6: Final answer
    x = 1,905,328.81

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Why These Related Problems?

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