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Finding the Third Proportional to 1,268,742 and 2,735,535

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Solution

The third proportional to 1,268,742 and 2,735,535 is: 5,898,087.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,268,742 : 2,735,535 = 2,735,535 : x
  2. Step 2: Convert to fraction form
    1,268,742/2,735,535 = 2,735,535/x
  3. Step 3: Cross multiply
    1,268,742x = 2,735,535 × 2,735,535
  4. Step 4: Simplify right side
    1,268,742x = 7,483,151,736,225
  5. Step 5: Solve for x
    x = 7,483,151,736,225/1,268,742
  6. Step 6: Final answer
    x = 5,898,087.82

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.