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Finding the Third Proportional to 391,032 and 856,806

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Solution

The third proportional to 391,032 and 856,806 is: 1,877,382.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    391,032 : 856,806 = 856,806 : x
  2. Step 2: Convert to fraction form
    391,032/856,806 = 856,806/x
  3. Step 3: Cross multiply
    391,032x = 856,806 × 856,806
  4. Step 4: Simplify right side
    391,032x = 734,116,521,636
  5. Step 5: Solve for x
    x = 734,116,521,636/391,032
  6. Step 6: Final answer
    x = 1,877,382.21

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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.