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Finding the Third Proportional to 422,378 and 919,117

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Solution

The third proportional to 422,378 and 919,117 is: 2,000,047.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,378 : 919,117 = 919,117 : x
  2. Step 2: Convert to fraction form
    422,378/919,117 = 919,117/x
  3. Step 3: Cross multiply
    422,378x = 919,117 × 919,117
  4. Step 4: Simplify right side
    422,378x = 844,776,059,689
  5. Step 5: Solve for x
    x = 844,776,059,689/422,378
  6. Step 6: Final answer
    x = 2,000,047.49

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.