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Finding the Third Proportional to 851,802 and 1,880,832

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Solution

The third proportional to 851,802 and 1,880,832 is: 4,152,994.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    851,802 : 1,880,832 = 1,880,832 : x
  2. Step 2: Convert to fraction form
    851,802/1,880,832 = 1,880,832/x
  3. Step 3: Cross multiply
    851,802x = 1,880,832 × 1,880,832
  4. Step 4: Simplify right side
    851,802x = 3,537,529,012,224
  5. Step 5: Solve for x
    x = 3,537,529,012,224/851,802
  6. Step 6: Final answer
    x = 4,152,994.49

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.