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Finding the Third Proportional to 403,833 and 881,019

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Solution

The third proportional to 403,833 and 881,019 is: 1,922,067.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    403,833 : 881,019 = 881,019 : x
  2. Step 2: Convert to fraction form
    403,833/881,019 = 881,019/x
  3. Step 3: Cross multiply
    403,833x = 881,019 × 881,019
  4. Step 4: Simplify right side
    403,833x = 776,194,478,361
  5. Step 5: Solve for x
    x = 776,194,478,361/403,833
  6. Step 6: Final answer
    x = 1,922,067.98

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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.