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Finding the Third Proportional to 729,276.75 and 1,590,138

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Solution

The third proportional to 729,276.75 and 1,590,138 is: 3,467,186.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    729,276.75 : 1,590,138 = 1,590,138 : x
  2. Step 2: Convert to fraction form
    729,276.75/1,590,138 = 1,590,138/x
  3. Step 3: Cross multiply
    729,276.75x = 1,590,138 × 1,590,138
  4. Step 4: Simplify right side
    729,276.75x = 2,528,538,859,044
  5. Step 5: Solve for x
    x = 2,528,538,859,044/729,276.75
  6. Step 6: Final answer
    x = 3,467,186.99

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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.