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Finding the Third Proportional to 642,741.19 and 940,452.19

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Solution

The third proportional to 642,741.19 and 940,452.19 is: 1,376,059.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    642,741.19 : 940,452.19 = 940,452.19 : x
  2. Step 2: Convert to fraction form
    642,741.19/940,452.19 = 940,452.19/x
  3. Step 3: Cross multiply
    642,741.19x = 940,452.19 × 940,452.19
  4. Step 4: Simplify right side
    642,741.19x = 884,450,316,973.54
  5. Step 5: Solve for x
    x = 884,450,316,973.54/642,741.19
  6. Step 6: Final answer
    x = 1,376,059.81

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.