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Finding the Third Proportional to 385,860 and 834,104

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Solution

The third proportional to 385,860 and 834,104 is: 1,803,061.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,860 : 834,104 = 834,104 : x
  2. Step 2: Convert to fraction form
    385,860/834,104 = 834,104/x
  3. Step 3: Cross multiply
    385,860x = 834,104 × 834,104
  4. Step 4: Simplify right side
    385,860x = 695,729,482,816
  5. Step 5: Solve for x
    x = 695,729,482,816/385,860
  6. Step 6: Final answer
    x = 1,803,061.95

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.