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Finding the Third Proportional to 786,172 and 1,246,876

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Solution

The third proportional to 786,172 and 1,246,876 is: 1,977,556.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    786,172 : 1,246,876 = 1,246,876 : x
  2. Step 2: Convert to fraction form
    786,172/1,246,876 = 1,246,876/x
  3. Step 3: Cross multiply
    786,172x = 1,246,876 × 1,246,876
  4. Step 4: Simplify right side
    786,172x = 1,554,699,759,376
  5. Step 5: Solve for x
    x = 1,554,699,759,376/786,172
  6. Step 6: Final answer
    x = 1,977,556.77

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.