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Finding the Third Proportional to 835,104 and 1,829,805

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Solution

The third proportional to 835,104 and 1,829,805 is: 4,009,304.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    835,104 : 1,829,805 = 1,829,805 : x
  2. Step 2: Convert to fraction form
    835,104/1,829,805 = 1,829,805/x
  3. Step 3: Cross multiply
    835,104x = 1,829,805 × 1,829,805
  4. Step 4: Simplify right side
    835,104x = 3,348,186,338,025
  5. Step 5: Solve for x
    x = 3,348,186,338,025/835,104
  6. Step 6: Final answer
    x = 4,009,304.64

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.