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Finding the Third Proportional to 830,736 and 1,801,440

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Solution

The third proportional to 830,736 and 1,801,440 is: 3,906,398.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    830,736 : 1,801,440 = 1,801,440 : x
  2. Step 2: Convert to fraction form
    830,736/1,801,440 = 1,801,440/x
  3. Step 3: Cross multiply
    830,736x = 1,801,440 × 1,801,440
  4. Step 4: Simplify right side
    830,736x = 3,245,186,073,600
  5. Step 5: Solve for x
    x = 3,245,186,073,600/830,736
  6. Step 6: Final answer
    x = 3,906,398.75

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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.