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Finding the Third Proportional to 428,129.93 and 941,006.11

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Solution

The third proportional to 428,129.93 and 941,006.11 is: 2,068,279.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    428,129.93 : 941,006.11 = 941,006.11 : x
  2. Step 2: Convert to fraction form
    428,129.93/941,006.11 = 941,006.11/x
  3. Step 3: Cross multiply
    428,129.93x = 941,006.11 × 941,006.11
  4. Step 4: Simplify right side
    428,129.93x = 885,492,497,881.08
  5. Step 5: Solve for x
    x = 885,492,497,881.08/428,129.93
  6. Step 6: Final answer
    x = 2,068,279.83

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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.