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Finding the Third Proportional to 832,016 and 1,796,750

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Solution

The third proportional to 832,016 and 1,796,750 is: 3,880,106.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    832,016 : 1,796,750 = 1,796,750 : x
  2. Step 2: Convert to fraction form
    832,016/1,796,750 = 1,796,750/x
  3. Step 3: Cross multiply
    832,016x = 1,796,750 × 1,796,750
  4. Step 4: Simplify right side
    832,016x = 3,228,310,562,500
  5. Step 5: Solve for x
    x = 3,228,310,562,500/832,016
  6. Step 6: Final answer
    x = 3,880,106.35

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.