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Finding the Third Proportional to 895,782.56 and 1,949,023.31

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Solution

The third proportional to 895,782.56 and 1,949,023.31 is: 4,240,640.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    895,782.56 : 1,949,023.31 = 1,949,023.31 : x
  2. Step 2: Convert to fraction form
    895,782.56/1,949,023.31 = 1,949,023.31/x
  3. Step 3: Cross multiply
    895,782.56x = 1,949,023.31 × 1,949,023.31
  4. Step 4: Simplify right side
    895,782.56x = 3,798,691,872,668.47
  5. Step 5: Solve for x
    x = 3,798,691,872,668.47/895,782.56
  6. Step 6: Final answer
    x = 4,240,640.57

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.