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Finding the Third Proportional to 834,860 and 1,787,780

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Solution

The third proportional to 834,860 and 1,787,780 is: 3,828,375.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    834,860 : 1,787,780 = 1,787,780 : x
  2. Step 2: Convert to fraction form
    834,860/1,787,780 = 1,787,780/x
  3. Step 3: Cross multiply
    834,860x = 1,787,780 × 1,787,780
  4. Step 4: Simplify right side
    834,860x = 3,196,157,328,400
  5. Step 5: Solve for x
    x = 3,196,157,328,400/834,860
  6. Step 6: Final answer
    x = 3,828,375.21

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.