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Finding the Third Proportional to 771,576 and 1,179,600

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Solution

The third proportional to 771,576 and 1,179,600 is: 1,803,394.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    771,576 : 1,179,600 = 1,179,600 : x
  2. Step 2: Convert to fraction form
    771,576/1,179,600 = 1,179,600/x
  3. Step 3: Cross multiply
    771,576x = 1,179,600 × 1,179,600
  4. Step 4: Simplify right side
    771,576x = 1,391,456,160,000
  5. Step 5: Solve for x
    x = 1,391,456,160,000/771,576
  6. Step 6: Final answer
    x = 1,803,394.82

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.