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Finding the Third Proportional to 664,601 and 1,457,859

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Solution

The third proportional to 664,601 and 1,457,859 is: 3,197,938.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    664,601 : 1,457,859 = 1,457,859 : x
  2. Step 2: Convert to fraction form
    664,601/1,457,859 = 1,457,859/x
  3. Step 3: Cross multiply
    664,601x = 1,457,859 × 1,457,859
  4. Step 4: Simplify right side
    664,601x = 2,125,352,863,881
  5. Step 5: Solve for x
    x = 2,125,352,863,881/664,601
  6. Step 6: Final answer
    x = 3,197,938.11

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.