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Finding the Third Proportional to 629,922 and 943,139

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Solution

The third proportional to 629,922 and 943,139 is: 1,412,097.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    629,922 : 943,139 = 943,139 : x
  2. Step 2: Convert to fraction form
    629,922/943,139 = 943,139/x
  3. Step 3: Cross multiply
    629,922x = 943,139 × 943,139
  4. Step 4: Simplify right side
    629,922x = 889,511,173,321
  5. Step 5: Solve for x
    x = 889,511,173,321/629,922
  6. Step 6: Final answer
    x = 1,412,097.33

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.