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Finding the Third Proportional to 1,454,613 and 3,086,538

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Solution

The third proportional to 1,454,613 and 3,086,538 is: 6,549,313.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,454,613 : 3,086,538 = 3,086,538 : x
  2. Step 2: Convert to fraction form
    1,454,613/3,086,538 = 3,086,538/x
  3. Step 3: Cross multiply
    1,454,613x = 3,086,538 × 3,086,538
  4. Step 4: Simplify right side
    1,454,613x = 9,526,716,825,444
  5. Step 5: Solve for x
    x = 9,526,716,825,444/1,454,613
  6. Step 6: Final answer
    x = 6,549,313.68

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.