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Finding the Third Proportional to 812,520 and 1,730,016

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Solution

The third proportional to 812,520 and 1,730,016 is: 3,683,546.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    812,520 : 1,730,016 = 1,730,016 : x
  2. Step 2: Convert to fraction form
    812,520/1,730,016 = 1,730,016/x
  3. Step 3: Cross multiply
    812,520x = 1,730,016 × 1,730,016
  4. Step 4: Simplify right side
    812,520x = 2,992,955,360,256
  5. Step 5: Solve for x
    x = 2,992,955,360,256/812,520
  6. Step 6: Final answer
    x = 3,683,546.69

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.