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Finding the Third Proportional to 714,266 and 1,080,615

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Solution

The third proportional to 714,266 and 1,080,615 is: 1,634,865.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    714,266 : 1,080,615 = 1,080,615 : x
  2. Step 2: Convert to fraction form
    714,266/1,080,615 = 1,080,615/x
  3. Step 3: Cross multiply
    714,266x = 1,080,615 × 1,080,615
  4. Step 4: Simplify right side
    714,266x = 1,167,728,778,225
  5. Step 5: Solve for x
    x = 1,167,728,778,225/714,266
  6. Step 6: Final answer
    x = 1,634,865.41

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.