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Finding the Third Proportional to 700,918 and 1,098,096

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Solution

The third proportional to 700,918 and 1,098,096 is: 1,720,336.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    700,918 : 1,098,096 = 1,098,096 : x
  2. Step 2: Convert to fraction form
    700,918/1,098,096 = 1,098,096/x
  3. Step 3: Cross multiply
    700,918x = 1,098,096 × 1,098,096
  4. Step 4: Simplify right side
    700,918x = 1,205,814,825,216
  5. Step 5: Solve for x
    x = 1,205,814,825,216/700,918
  6. Step 6: Final answer
    x = 1,720,336.51

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.