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Finding the Third Proportional to 830,234 and 1,826,356

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Solution

The third proportional to 830,234 and 1,826,356 is: 4,017,633.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    830,234 : 1,826,356 = 1,826,356 : x
  2. Step 2: Convert to fraction form
    830,234/1,826,356 = 1,826,356/x
  3. Step 3: Cross multiply
    830,234x = 1,826,356 × 1,826,356
  4. Step 4: Simplify right side
    830,234x = 3,335,576,238,736
  5. Step 5: Solve for x
    x = 3,335,576,238,736/830,234
  6. Step 6: Final answer
    x = 4,017,633.87

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.