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Finding the Third Proportional to 864,422 and 1,268,608

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Solution

The third proportional to 864,422 and 1,268,608 is: 1,861,783.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    864,422 : 1,268,608 = 1,268,608 : x
  2. Step 2: Convert to fraction form
    864,422/1,268,608 = 1,268,608/x
  3. Step 3: Cross multiply
    864,422x = 1,268,608 × 1,268,608
  4. Step 4: Simplify right side
    864,422x = 1,609,366,257,664
  5. Step 5: Solve for x
    x = 1,609,366,257,664/864,422
  6. Step 6: Final answer
    x = 1,861,783.08

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.