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Finding the Third Proportional to 792,576 and 1,730,016

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Solution

The third proportional to 792,576 and 1,730,016 is: 3,776,237.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    792,576 : 1,730,016 = 1,730,016 : x
  2. Step 2: Convert to fraction form
    792,576/1,730,016 = 1,730,016/x
  3. Step 3: Cross multiply
    792,576x = 1,730,016 × 1,730,016
  4. Step 4: Simplify right side
    792,576x = 2,992,955,360,256
  5. Step 5: Solve for x
    x = 2,992,955,360,256/792,576
  6. Step 6: Final answer
    x = 3,776,237.69

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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.