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Finding the Third Proportional to 714,262 and 1,080,610

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Solution

The third proportional to 714,262 and 1,080,610 is: 1,634,859.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    714,262 : 1,080,610 = 1,080,610 : x
  2. Step 2: Convert to fraction form
    714,262/1,080,610 = 1,080,610/x
  3. Step 3: Cross multiply
    714,262x = 1,080,610 × 1,080,610
  4. Step 4: Simplify right side
    714,262x = 1,167,717,972,100
  5. Step 5: Solve for x
    x = 1,167,717,972,100/714,262
  6. Step 6: Final answer
    x = 1,634,859.44

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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.