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Finding the Third Proportional to 836,268 and 1,806,664

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Solution

The third proportional to 836,268 and 1,806,664 is: 3,903,096.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    836,268 : 1,806,664 = 1,806,664 : x
  2. Step 2: Convert to fraction form
    836,268/1,806,664 = 1,806,664/x
  3. Step 3: Cross multiply
    836,268x = 1,806,664 × 1,806,664
  4. Step 4: Simplify right side
    836,268x = 3,264,034,808,896
  5. Step 5: Solve for x
    x = 3,264,034,808,896/836,268
  6. Step 6: Final answer
    x = 3,903,096.63

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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.