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Finding the Third Proportional to 839,335 and 1,836,135

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Solution

The third proportional to 839,335 and 1,836,135 is: 4,016,741.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    839,335 : 1,836,135 = 1,836,135 : x
  2. Step 2: Convert to fraction form
    839,335/1,836,135 = 1,836,135/x
  3. Step 3: Cross multiply
    839,335x = 1,836,135 × 1,836,135
  4. Step 4: Simplify right side
    839,335x = 3,371,391,738,225
  5. Step 5: Solve for x
    x = 3,371,391,738,225/839,335
  6. Step 6: Final answer
    x = 4,016,741.51

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.