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Finding the Third Proportional to 714,288 and 1,080,648

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Solution

The third proportional to 714,288 and 1,080,648 is: 1,634,914.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    714,288 : 1,080,648 = 1,080,648 : x
  2. Step 2: Convert to fraction form
    714,288/1,080,648 = 1,080,648/x
  3. Step 3: Cross multiply
    714,288x = 1,080,648 × 1,080,648
  4. Step 4: Simplify right side
    714,288x = 1,167,800,099,904
  5. Step 5: Solve for x
    x = 1,167,800,099,904/714,288
  6. Step 6: Final answer
    x = 1,634,914.91

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