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Finding the Third Proportional to 3,193,780.13 and 4,789,494.75

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Solution

The third proportional to 3,193,780.13 and 4,789,494.75 is: 7,182,479.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,193,780.13 : 4,789,494.75 = 4,789,494.75 : x
  2. Step 2: Convert to fraction form
    3,193,780.13/4,789,494.75 = 4,789,494.75/x
  3. Step 3: Cross multiply
    3,193,780.13x = 4,789,494.75 × 4,789,494.75
  4. Step 4: Simplify right side
    3,193,780.13x = 22,939,259,960,277.56
  5. Step 5: Solve for x
    x = 22,939,259,960,277.56/3,193,780.13
  6. Step 6: Final answer
    x = 7,182,479.40

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.