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Finding the Third Proportional to 782,183 and 1,209,185

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Solution

The third proportional to 782,183 and 1,209,185 is: 1,869,291.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    782,183 : 1,209,185 = 1,209,185 : x
  2. Step 2: Convert to fraction form
    782,183/1,209,185 = 1,209,185/x
  3. Step 3: Cross multiply
    782,183x = 1,209,185 × 1,209,185
  4. Step 4: Simplify right side
    782,183x = 1,462,128,364,225
  5. Step 5: Solve for x
    x = 1,462,128,364,225/782,183
  6. Step 6: Final answer
    x = 1,869,291.92

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.