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Finding the Third Proportional to 1,189,904.25 and 1,812,755.63

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Solution

The third proportional to 1,189,904.25 and 1,812,755.63 is: 2,761,636.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,189,904.25 : 1,812,755.63 = 1,812,755.63 : x
  2. Step 2: Convert to fraction form
    1,189,904.25/1,812,755.63 = 1,812,755.63/x
  3. Step 3: Cross multiply
    1,189,904.25x = 1,812,755.63 × 1,812,755.63
  4. Step 4: Simplify right side
    1,189,904.25x = 3,286,082,955,969.14
  5. Step 5: Solve for x
    x = 3,286,082,955,969.14/1,189,904.25
  6. Step 6: Final answer
    x = 2,761,636.46

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.