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Finding the Third Proportional to 435,794.81 and 941,614.13

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Solution

The third proportional to 435,794.81 and 941,614.13 is: 2,034,528.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    435,794.81 : 941,614.13 = 941,614.13 : x
  2. Step 2: Convert to fraction form
    435,794.81/941,614.13 = 941,614.13/x
  3. Step 3: Cross multiply
    435,794.81x = 941,614.13 × 941,614.13
  4. Step 4: Simplify right side
    435,794.81x = 886,637,160,399.52
  5. Step 5: Solve for x
    x = 886,637,160,399.52/435,794.81
  6. Step 6: Final answer
    x = 2,034,528.95

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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.