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Finding the Third Proportional to 851,520 and 1,419,138

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Solution

The third proportional to 851,520 and 1,419,138 is: 2,365,126.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    851,520 : 1,419,138 = 1,419,138 : x
  2. Step 2: Convert to fraction form
    851,520/1,419,138 = 1,419,138/x
  3. Step 3: Cross multiply
    851,520x = 1,419,138 × 1,419,138
  4. Step 4: Simplify right side
    851,520x = 2,013,952,663,044
  5. Step 5: Solve for x
    x = 2,013,952,663,044/851,520
  6. Step 6: Final answer
    x = 2,365,126.67

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Why These Related Problems?

These problems maintain the same ratio (1.67) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.