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Finding the Third Proportional to 428,738 and 931,284

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Solution

The third proportional to 428,738 and 931,284 is: 2,022,890.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    428,738 : 931,284 = 931,284 : x
  2. Step 2: Convert to fraction form
    428,738/931,284 = 931,284/x
  3. Step 3: Cross multiply
    428,738x = 931,284 × 931,284
  4. Step 4: Simplify right side
    428,738x = 867,289,888,656
  5. Step 5: Solve for x
    x = 867,289,888,656/428,738
  6. Step 6: Final answer
    x = 2,022,890.18

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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.