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Finding the Third Proportional to 730,419.19 and 1,091,539.69

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Solution

The third proportional to 730,419.19 and 1,091,539.69 is: 1,631,198.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    730,419.19 : 1,091,539.69 = 1,091,539.69 : x
  2. Step 2: Convert to fraction form
    730,419.19/1,091,539.69 = 1,091,539.69/x
  3. Step 3: Cross multiply
    730,419.19x = 1,091,539.69 × 1,091,539.69
  4. Step 4: Simplify right side
    730,419.19x = 1,191,458,889,387.60
  5. Step 5: Solve for x
    x = 1,191,458,889,387.60/730,419.19
  6. Step 6: Final answer
    x = 1,631,198.78

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.