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Finding the Third Proportional to 425,979 and 908,790

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Solution

The third proportional to 425,979 and 908,790 is: 1,938,826.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    425,979 : 908,790 = 908,790 : x
  2. Step 2: Convert to fraction form
    425,979/908,790 = 908,790/x
  3. Step 3: Cross multiply
    425,979x = 908,790 × 908,790
  4. Step 4: Simplify right side
    425,979x = 825,899,264,100
  5. Step 5: Solve for x
    x = 825,899,264,100/425,979
  6. Step 6: Final answer
    x = 1,938,826.24

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.