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Finding the Third Proportional to 841,954.50 and 1,296,141.75

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Solution

The third proportional to 841,954.50 and 1,296,141.75 is: 1,995,337.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    841,954.50 : 1,296,141.75 = 1,296,141.75 : x
  2. Step 2: Convert to fraction form
    841,954.50/1,296,141.75 = 1,296,141.75/x
  3. Step 3: Cross multiply
    841,954.50x = 1,296,141.75 × 1,296,141.75
  4. Step 4: Simplify right side
    841,954.50x = 1,679,983,436,093.06
  5. Step 5: Solve for x
    x = 1,679,983,436,093.06/841,954.50
  6. Step 6: Final answer
    x = 1,995,337.56

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.