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Finding the Third Proportional to 833,142 and 1,792,860

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Solution

The third proportional to 833,142 and 1,792,860 is: 3,858,102.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    833,142 : 1,792,860 = 1,792,860 : x
  2. Step 2: Convert to fraction form
    833,142/1,792,860 = 1,792,860/x
  3. Step 3: Cross multiply
    833,142x = 1,792,860 × 1,792,860
  4. Step 4: Simplify right side
    833,142x = 3,214,346,979,600
  5. Step 5: Solve for x
    x = 3,214,346,979,600/833,142
  6. Step 6: Final answer
    x = 3,858,102.20

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.