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Finding the Third Proportional to 1,098,978 and 2,343,120

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Solution

The third proportional to 1,098,978 and 2,343,120 is: 4,995,742.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,098,978 : 2,343,120 = 2,343,120 : x
  2. Step 2: Convert to fraction form
    1,098,978/2,343,120 = 2,343,120/x
  3. Step 3: Cross multiply
    1,098,978x = 2,343,120 × 2,343,120
  4. Step 4: Simplify right side
    1,098,978x = 5,490,211,334,400
  5. Step 5: Solve for x
    x = 5,490,211,334,400/1,098,978
  6. Step 6: Final answer
    x = 4,995,742.71

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These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.