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Finding the Third Proportional to 445,672.13 and 960,643.13

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Solution

The third proportional to 445,672.13 and 960,643.13 is: 2,070,659.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    445,672.13 : 960,643.13 = 960,643.13 : x
  2. Step 2: Convert to fraction form
    445,672.13/960,643.13 = 960,643.13/x
  3. Step 3: Cross multiply
    445,672.13x = 960,643.13 × 960,643.13
  4. Step 4: Simplify right side
    445,672.13x = 922,835,213,609.77
  5. Step 5: Solve for x
    x = 922,835,213,609.77/445,672.13
  6. Step 6: Final answer
    x = 2,070,659.49

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.