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Finding the Third Proportional to 425,920 and 910,936

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Solution

The third proportional to 425,920 and 910,936 is: 1,948,263.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    425,920 : 910,936 = 910,936 : x
  2. Step 2: Convert to fraction form
    425,920/910,936 = 910,936/x
  3. Step 3: Cross multiply
    425,920x = 910,936 × 910,936
  4. Step 4: Simplify right side
    425,920x = 829,804,396,096
  5. Step 5: Solve for x
    x = 829,804,396,096/425,920
  6. Step 6: Final answer
    x = 1,948,263.51

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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.