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Finding the Third Proportional to 540,720 and 1,176,576

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Solution

The third proportional to 540,720 and 1,176,576 is: 2,560,162.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    540,720 : 1,176,576 = 1,176,576 : x
  2. Step 2: Convert to fraction form
    540,720/1,176,576 = 1,176,576/x
  3. Step 3: Cross multiply
    540,720x = 1,176,576 × 1,176,576
  4. Step 4: Simplify right side
    540,720x = 1,384,331,083,776
  5. Step 5: Solve for x
    x = 1,384,331,083,776/540,720
  6. Step 6: Final answer
    x = 2,560,162.53

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.