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Finding the Third Proportional to 428,176.13 and 941,095.13

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Solution

The third proportional to 428,176.13 and 941,095.13 is: 2,068,447.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    428,176.13 : 941,095.13 = 941,095.13 : x
  2. Step 2: Convert to fraction form
    428,176.13/941,095.13 = 941,095.13/x
  3. Step 3: Cross multiply
    428,176.13x = 941,095.13 × 941,095.13
  4. Step 4: Simplify right side
    428,176.13x = 885,660,034,298.77
  5. Step 5: Solve for x
    x = 885,660,034,298.77/428,176.13
  6. Step 6: Final answer
    x = 2,068,447.96

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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.