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Finding the Third Proportional to 403,843 and 881,032

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Solution

The third proportional to 403,843 and 881,032 is: 1,922,077.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    403,843 : 881,032 = 881,032 : x
  2. Step 2: Convert to fraction form
    403,843/881,032 = 881,032/x
  3. Step 3: Cross multiply
    403,843x = 881,032 × 881,032
  4. Step 4: Simplify right side
    403,843x = 776,217,385,024
  5. Step 5: Solve for x
    x = 776,217,385,024/403,843
  6. Step 6: Final answer
    x = 1,922,077.11

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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.