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Finding the Third Proportional to 425,870 and 908,872

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Solution

The third proportional to 425,870 and 908,872 is: 1,939,672.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    425,870 : 908,872 = 908,872 : x
  2. Step 2: Convert to fraction form
    425,870/908,872 = 908,872/x
  3. Step 3: Cross multiply
    425,870x = 908,872 × 908,872
  4. Step 4: Simplify right side
    425,870x = 826,048,312,384
  5. Step 5: Solve for x
    x = 826,048,312,384/425,870
  6. Step 6: Final answer
    x = 1,939,672.46

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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.