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Finding the Third Proportional to 830,910 and 1,356,667

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Solution

The third proportional to 830,910 and 1,356,667 is: 2,215,095.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    830,910 : 1,356,667 = 1,356,667 : x
  2. Step 2: Convert to fraction form
    830,910/1,356,667 = 1,356,667/x
  3. Step 3: Cross multiply
    830,910x = 1,356,667 × 1,356,667
  4. Step 4: Simplify right side
    830,910x = 1,840,545,348,889
  5. Step 5: Solve for x
    x = 1,840,545,348,889/830,910
  6. Step 6: Final answer
    x = 2,215,095.92

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These problems maintain the same ratio (1.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.