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Finding the Third Proportional to 776,820 and 1,661,576

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Solution

The third proportional to 776,820 and 1,661,576 is: 3,554,021.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    776,820 : 1,661,576 = 1,661,576 : x
  2. Step 2: Convert to fraction form
    776,820/1,661,576 = 1,661,576/x
  3. Step 3: Cross multiply
    776,820x = 1,661,576 × 1,661,576
  4. Step 4: Simplify right side
    776,820x = 2,760,834,803,776
  5. Step 5: Solve for x
    x = 2,760,834,803,776/776,820
  6. Step 6: Final answer
    x = 3,554,021.27

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