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Finding the Third Proportional to 428,948 and 931,624

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Solution

The third proportional to 428,948 and 931,624 is: 2,023,376.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    428,948 : 931,624 = 931,624 : x
  2. Step 2: Convert to fraction form
    428,948/931,624 = 931,624/x
  3. Step 3: Cross multiply
    428,948x = 931,624 × 931,624
  4. Step 4: Simplify right side
    428,948x = 867,923,277,376
  5. Step 5: Solve for x
    x = 867,923,277,376/428,948
  6. Step 6: Final answer
    x = 2,023,376.44

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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.