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Finding the Third Proportional to 730,147.29 and 1,600,410.66

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Solution

The third proportional to 730,147.29 and 1,600,410.66 is: 3,507,941.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    730,147.29 : 1,600,410.66 = 1,600,410.66 : x
  2. Step 2: Convert to fraction form
    730,147.29/1,600,410.66 = 1,600,410.66/x
  3. Step 3: Cross multiply
    730,147.29x = 1,600,410.66 × 1,600,410.66
  4. Step 4: Simplify right side
    730,147.29x = 2,561,314,268,638.56
  5. Step 5: Solve for x
    x = 2,561,314,268,638.56/730,147.29
  6. Step 6: Final answer
    x = 3,507,941.90

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.