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Finding the Third Proportional to 374,927 and 821,050

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Solution

The third proportional to 374,927 and 821,050 is: 1,798,011.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    374,927 : 821,050 = 821,050 : x
  2. Step 2: Convert to fraction form
    374,927/821,050 = 821,050/x
  3. Step 3: Cross multiply
    374,927x = 821,050 × 821,050
  4. Step 4: Simplify right side
    374,927x = 674,123,102,500
  5. Step 5: Solve for x
    x = 674,123,102,500/374,927
  6. Step 6: Final answer
    x = 1,798,011.62

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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.