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Finding the Third Proportional to 1,313,938 and 2,832,968

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Solution

The third proportional to 1,313,938 and 2,832,968 is: 6,108,132.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,313,938 : 2,832,968 = 2,832,968 : x
  2. Step 2: Convert to fraction form
    1,313,938/2,832,968 = 2,832,968/x
  3. Step 3: Cross multiply
    1,313,938x = 2,832,968 × 2,832,968
  4. Step 4: Simplify right side
    1,313,938x = 8,025,707,689,024
  5. Step 5: Solve for x
    x = 8,025,707,689,024/1,313,938
  6. Step 6: Final answer
    x = 6,108,132.72

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Why These Related Problems?

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