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Finding the Third Proportional to 828,295 and 1,806,534

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Solution

The third proportional to 828,295 and 1,806,534 is: 3,940,099.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    828,295 : 1,806,534 = 1,806,534 : x
  2. Step 2: Convert to fraction form
    828,295/1,806,534 = 1,806,534/x
  3. Step 3: Cross multiply
    828,295x = 1,806,534 × 1,806,534
  4. Step 4: Simplify right side
    828,295x = 3,263,565,093,156
  5. Step 5: Solve for x
    x = 3,263,565,093,156/828,295
  6. Step 6: Final answer
    x = 3,940,099.96

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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.