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Finding the Third Proportional to 717,576 and 1,538,208

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Solution

The third proportional to 717,576 and 1,538,208 is: 3,297,328.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    717,576 : 1,538,208 = 1,538,208 : x
  2. Step 2: Convert to fraction form
    717,576/1,538,208 = 1,538,208/x
  3. Step 3: Cross multiply
    717,576x = 1,538,208 × 1,538,208
  4. Step 4: Simplify right side
    717,576x = 2,366,083,851,264
  5. Step 5: Solve for x
    x = 2,366,083,851,264/717,576
  6. Step 6: Final answer
    x = 3,297,328.58

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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.