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Finding the Third Proportional to 847,880 and 1,796,848

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Solution

The third proportional to 847,880 and 1,796,848 is: 3,807,924.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    847,880 : 1,796,848 = 1,796,848 : x
  2. Step 2: Convert to fraction form
    847,880/1,796,848 = 1,796,848/x
  3. Step 3: Cross multiply
    847,880x = 1,796,848 × 1,796,848
  4. Step 4: Simplify right side
    847,880x = 3,228,662,735,104
  5. Step 5: Solve for x
    x = 3,228,662,735,104/847,880
  6. Step 6: Final answer
    x = 3,807,924.16

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.