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Finding the Third Proportional to 3,029,676.75 and 4,533,780.75

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Solution

The third proportional to 3,029,676.75 and 4,533,780.75 is: 6,784,607.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,029,676.75 : 4,533,780.75 = 4,533,780.75 : x
  2. Step 2: Convert to fraction form
    3,029,676.75/4,533,780.75 = 4,533,780.75/x
  3. Step 3: Cross multiply
    3,029,676.75x = 4,533,780.75 × 4,533,780.75
  4. Step 4: Simplify right side
    3,029,676.75x = 20,555,167,889,070.56
  5. Step 5: Solve for x
    x = 20,555,167,889,070.56/3,029,676.75
  6. Step 6: Final answer
    x = 6,784,607.60

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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.