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Finding the Third Proportional to 420,960 and 901,632

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Solution

The third proportional to 420,960 and 901,632 is: 1,931,157.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,960 : 901,632 = 901,632 : x
  2. Step 2: Convert to fraction form
    420,960/901,632 = 901,632/x
  3. Step 3: Cross multiply
    420,960x = 901,632 × 901,632
  4. Step 4: Simplify right side
    420,960x = 812,940,263,424
  5. Step 5: Solve for x
    x = 812,940,263,424/420,960
  6. Step 6: Final answer
    x = 1,931,157.98

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.