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Finding the Third Proportional to 433,830.94 and 934,259.06

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Solution

The third proportional to 433,830.94 and 934,259.06 is: 2,011,935.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    433,830.94 : 934,259.06 = 934,259.06 : x
  2. Step 2: Convert to fraction form
    433,830.94/934,259.06 = 934,259.06/x
  3. Step 3: Cross multiply
    433,830.94x = 934,259.06 × 934,259.06
  4. Step 4: Simplify right side
    433,830.94x = 872,839,995,863.38
  5. Step 5: Solve for x
    x = 872,839,995,863.38/433,830.94
  6. Step 6: Final answer
    x = 2,011,935.80

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.