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Finding the Third Proportional to 729,264.94 and 1,575,375.75

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Solution

The third proportional to 729,264.94 and 1,575,375.75 is: 3,403,164.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    729,264.94 : 1,575,375.75 = 1,575,375.75 : x
  2. Step 2: Convert to fraction form
    729,264.94/1,575,375.75 = 1,575,375.75/x
  3. Step 3: Cross multiply
    729,264.94x = 1,575,375.75 × 1,575,375.75
  4. Step 4: Simplify right side
    729,264.94x = 2,481,808,753,688.06
  5. Step 5: Solve for x
    x = 2,481,808,753,688.06/729,264.94
  6. Step 6: Final answer
    x = 3,403,164.78

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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.