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Finding the Third Proportional to 2,099,140 and 4,347,638

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Solution

The third proportional to 2,099,140 and 4,347,638 is: 9,004,619.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,099,140 : 4,347,638 = 4,347,638 : x
  2. Step 2: Convert to fraction form
    2,099,140/4,347,638 = 4,347,638/x
  3. Step 3: Cross multiply
    2,099,140x = 4,347,638 × 4,347,638
  4. Step 4: Simplify right side
    2,099,140x = 18,901,956,179,044
  5. Step 5: Solve for x
    x = 18,901,956,179,044/2,099,140
  6. Step 6: Final answer
    x = 9,004,619.12

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These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.