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Finding the Third Proportional to 791,982 and 1,050,174

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Solution

The third proportional to 791,982 and 1,050,174 is: 1,392,538.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    791,982 : 1,050,174 = 1,050,174 : x
  2. Step 2: Convert to fraction form
    791,982/1,050,174 = 1,050,174/x
  3. Step 3: Cross multiply
    791,982x = 1,050,174 × 1,050,174
  4. Step 4: Simplify right side
    791,982x = 1,102,865,430,276
  5. Step 5: Solve for x
    x = 1,102,865,430,276/791,982
  6. Step 6: Final answer
    x = 1,392,538.51

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.