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Finding the Third Proportional to 1,496,036 and 3,206,398

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Solution

The third proportional to 1,496,036 and 3,206,398 is: 6,872,152.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,496,036 : 3,206,398 = 3,206,398 : x
  2. Step 2: Convert to fraction form
    1,496,036/3,206,398 = 3,206,398/x
  3. Step 3: Cross multiply
    1,496,036x = 3,206,398 × 3,206,398
  4. Step 4: Simplify right side
    1,496,036x = 10,280,988,134,404
  5. Step 5: Solve for x
    x = 10,280,988,134,404/1,496,036
  6. Step 6: Final answer
    x = 6,872,152.90

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.