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Finding the Third Proportional to 428,730 and 931,244

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Solution

The third proportional to 428,730 and 931,244 is: 2,022,754.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    428,730 : 931,244 = 931,244 : x
  2. Step 2: Convert to fraction form
    428,730/931,244 = 931,244/x
  3. Step 3: Cross multiply
    428,730x = 931,244 × 931,244
  4. Step 4: Simplify right side
    428,730x = 867,215,387,536
  5. Step 5: Solve for x
    x = 867,215,387,536/428,730
  6. Step 6: Final answer
    x = 2,022,754.15

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.