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Finding the Third Proportional to 826,104 and 1,262,902

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Solution

The third proportional to 826,104 and 1,262,902 is: 1,930,654.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    826,104 : 1,262,902 = 1,262,902 : x
  2. Step 2: Convert to fraction form
    826,104/1,262,902 = 1,262,902/x
  3. Step 3: Cross multiply
    826,104x = 1,262,902 × 1,262,902
  4. Step 4: Simplify right side
    826,104x = 1,594,921,461,604
  5. Step 5: Solve for x
    x = 1,594,921,461,604/826,104
  6. Step 6: Final answer
    x = 1,930,654.57

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.