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Finding the Third Proportional to 428,160.94 and 941,068.13

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Solution

The third proportional to 428,160.94 and 941,068.13 is: 2,068,402.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    428,160.94 : 941,068.13 = 941,068.13 : x
  2. Step 2: Convert to fraction form
    428,160.94/941,068.13 = 941,068.13/x
  3. Step 3: Cross multiply
    428,160.94x = 941,068.13 × 941,068.13
  4. Step 4: Simplify right side
    428,160.94x = 885,609,215,891.02
  5. Step 5: Solve for x
    x = 885,609,215,891.02/428,160.94
  6. Step 6: Final answer
    x = 2,068,402.65

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.