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Finding the Third Proportional to 754,576 and 1,617,128

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Solution

The third proportional to 754,576 and 1,617,128 is: 3,465,658.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    754,576 : 1,617,128 = 1,617,128 : x
  2. Step 2: Convert to fraction form
    754,576/1,617,128 = 1,617,128/x
  3. Step 3: Cross multiply
    754,576x = 1,617,128 × 1,617,128
  4. Step 4: Simplify right side
    754,576x = 2,615,102,968,384
  5. Step 5: Solve for x
    x = 2,615,102,968,384/754,576
  6. Step 6: Final answer
    x = 3,465,658.82

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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.