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Finding the Third Proportional to 421,806 and 907,624

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Solution

The third proportional to 421,806 and 907,624 is: 1,952,986.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,806 : 907,624 = 907,624 : x
  2. Step 2: Convert to fraction form
    421,806/907,624 = 907,624/x
  3. Step 3: Cross multiply
    421,806x = 907,624 × 907,624
  4. Step 4: Simplify right side
    421,806x = 823,781,325,376
  5. Step 5: Solve for x
    x = 823,781,325,376/421,806
  6. Step 6: Final answer
    x = 1,952,986.27

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.