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Finding the Third Proportional to 428,728 and 931,240

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Solution

The third proportional to 428,728 and 931,240 is: 2,022,746.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    428,728 : 931,240 = 931,240 : x
  2. Step 2: Convert to fraction form
    428,728/931,240 = 931,240/x
  3. Step 3: Cross multiply
    428,728x = 931,240 × 931,240
  4. Step 4: Simplify right side
    428,728x = 867,207,937,600
  5. Step 5: Solve for x
    x = 867,207,937,600/428,728
  6. Step 6: Final answer
    x = 2,022,746.21

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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.