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Finding the Third Proportional to 754,940.04 and 1,143,399.16

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Solution

The third proportional to 754,940.04 and 1,143,399.16 is: 1,731,742.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    754,940.04 : 1,143,399.16 = 1,143,399.16 : x
  2. Step 2: Convert to fraction form
    754,940.04/1,143,399.16 = 1,143,399.16/x
  3. Step 3: Cross multiply
    754,940.04x = 1,143,399.16 × 1,143,399.16
  4. Step 4: Simplify right side
    754,940.04x = 1,307,361,648,378.82
  5. Step 5: Solve for x
    x = 1,307,361,648,378.82/754,940.04
  6. Step 6: Final answer
    x = 1,731,742.36

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.