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Finding the Third Proportional to 729,258.29 and 1,575,361.51

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Solution

The third proportional to 729,258.29 and 1,575,361.51 is: 3,403,134.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    729,258.29 : 1,575,361.51 = 1,575,361.51 : x
  2. Step 2: Convert to fraction form
    729,258.29/1,575,361.51 = 1,575,361.51/x
  3. Step 3: Cross multiply
    729,258.29x = 1,575,361.51 × 1,575,361.51
  4. Step 4: Simplify right side
    729,258.29x = 2,481,763,892,604.94
  5. Step 5: Solve for x
    x = 2,481,763,892,604.94/729,258.29
  6. Step 6: Final answer
    x = 3,403,134.28

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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.