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Finding the Third Proportional to 803,664 and 1,770,876

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Solution

The third proportional to 803,664 and 1,770,876 is: 3,902,130.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    803,664 : 1,770,876 = 1,770,876 : x
  2. Step 2: Convert to fraction form
    803,664/1,770,876 = 1,770,876/x
  3. Step 3: Cross multiply
    803,664x = 1,770,876 × 1,770,876
  4. Step 4: Simplify right side
    803,664x = 3,136,001,807,376
  5. Step 5: Solve for x
    x = 3,136,001,807,376/803,664
  6. Step 6: Final answer
    x = 3,902,130.50

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.