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Finding the Third Proportional to 590,147.44 and 911,373.19

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Solution

The third proportional to 590,147.44 and 911,373.19 is: 1,407,446.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    590,147.44 : 911,373.19 = 911,373.19 : x
  2. Step 2: Convert to fraction form
    590,147.44/911,373.19 = 911,373.19/x
  3. Step 3: Cross multiply
    590,147.44x = 911,373.19 × 911,373.19
  4. Step 4: Simplify right side
    590,147.44x = 830,601,086,893.91
  5. Step 5: Solve for x
    x = 830,601,086,893.91/590,147.44
  6. Step 6: Final answer
    x = 1,407,446.74

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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.