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Finding the Third Proportional to 385,793 and 845,141

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Solution

The third proportional to 385,793 and 845,141 is: 1,851,415.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,793 : 845,141 = 845,141 : x
  2. Step 2: Convert to fraction form
    385,793/845,141 = 845,141/x
  3. Step 3: Cross multiply
    385,793x = 845,141 × 845,141
  4. Step 4: Simplify right side
    385,793x = 714,263,309,881
  5. Step 5: Solve for x
    x = 714,263,309,881/385,793
  6. Step 6: Final answer
    x = 1,851,415.94

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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.