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Finding the Third Proportional to 416,020 and 851,753

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Solution

The third proportional to 416,020 and 851,753 is: 1,743,866.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,020 : 851,753 = 851,753 : x
  2. Step 2: Convert to fraction form
    416,020/851,753 = 851,753/x
  3. Step 3: Cross multiply
    416,020x = 851,753 × 851,753
  4. Step 4: Simplify right side
    416,020x = 725,483,173,009
  5. Step 5: Solve for x
    x = 725,483,173,009/416,020
  6. Step 6: Final answer
    x = 1,743,866.10

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.