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Finding the Third Proportional to 2,184,576.75 and 4,752,607.50

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Solution

The third proportional to 2,184,576.75 and 4,752,607.50 is: 10,339,429.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,184,576.75 : 4,752,607.50 = 4,752,607.50 : x
  2. Step 2: Convert to fraction form
    2,184,576.75/4,752,607.50 = 4,752,607.50/x
  3. Step 3: Cross multiply
    2,184,576.75x = 4,752,607.50 × 4,752,607.50
  4. Step 4: Simplify right side
    2,184,576.75x = 22,587,278,049,056.25
  5. Step 5: Solve for x
    x = 22,587,278,049,056.25/2,184,576.75
  6. Step 6: Final answer
    x = 10,339,429.85

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.