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Finding the Third Proportional to 366,872 and 794,810

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Solution

The third proportional to 366,872 and 794,810 is: 1,721,916.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    366,872 : 794,810 = 794,810 : x
  2. Step 2: Convert to fraction form
    366,872/794,810 = 794,810/x
  3. Step 3: Cross multiply
    366,872x = 794,810 × 794,810
  4. Step 4: Simplify right side
    366,872x = 631,722,936,100
  5. Step 5: Solve for x
    x = 631,722,936,100/366,872
  6. Step 6: Final answer
    x = 1,721,916.46

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.