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Finding the Third Proportional to 389,102 and 846,350

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Solution

The third proportional to 389,102 and 846,350 is: 1,840,926.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    389,102 : 846,350 = 846,350 : x
  2. Step 2: Convert to fraction form
    389,102/846,350 = 846,350/x
  3. Step 3: Cross multiply
    389,102x = 846,350 × 846,350
  4. Step 4: Simplify right side
    389,102x = 716,308,322,500
  5. Step 5: Solve for x
    x = 716,308,322,500/389,102
  6. Step 6: Final answer
    x = 1,840,926.86

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.