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Finding the Third Proportional to 776,819 and 1,661,578

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Solution

The third proportional to 776,819 and 1,661,578 is: 3,554,034.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    776,819 : 1,661,578 = 1,661,578 : x
  2. Step 2: Convert to fraction form
    776,819/1,661,578 = 1,661,578/x
  3. Step 3: Cross multiply
    776,819x = 1,661,578 × 1,661,578
  4. Step 4: Simplify right side
    776,819x = 2,760,841,450,084
  5. Step 5: Solve for x
    x = 2,760,841,450,084/776,819
  6. Step 6: Final answer
    x = 3,554,034.40

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.