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Finding the Third Proportional to 643,082 and 946,035

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Solution

The third proportional to 643,082 and 946,035 is: 1,391,707.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    643,082 : 946,035 = 946,035 : x
  2. Step 2: Convert to fraction form
    643,082/946,035 = 946,035/x
  3. Step 3: Cross multiply
    643,082x = 946,035 × 946,035
  4. Step 4: Simplify right side
    643,082x = 894,982,221,225
  5. Step 5: Solve for x
    x = 894,982,221,225/643,082
  6. Step 6: Final answer
    x = 1,391,707.78

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.