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Finding the Third Proportional to 830,932 and 1,356,704

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Solution

The third proportional to 830,932 and 1,356,704 is: 2,215,158.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    830,932 : 1,356,704 = 1,356,704 : x
  2. Step 2: Convert to fraction form
    830,932/1,356,704 = 1,356,704/x
  3. Step 3: Cross multiply
    830,932x = 1,356,704 × 1,356,704
  4. Step 4: Simplify right side
    830,932x = 1,840,645,743,616
  5. Step 5: Solve for x
    x = 1,840,645,743,616/830,932
  6. Step 6: Final answer
    x = 2,215,158.09

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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.