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Finding the Third Proportional to 403,842 and 881,036

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Solution

The third proportional to 403,842 and 881,036 is: 1,922,099.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    403,842 : 881,036 = 881,036 : x
  2. Step 2: Convert to fraction form
    403,842/881,036 = 881,036/x
  3. Step 3: Cross multiply
    403,842x = 881,036 × 881,036
  4. Step 4: Simplify right side
    403,842x = 776,224,433,296
  5. Step 5: Solve for x
    x = 776,224,433,296/403,842
  6. Step 6: Final answer
    x = 1,922,099.32

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.