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Finding the Third Proportional to 1,564,481.81 and 3,248,868.94

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Solution

The third proportional to 1,564,481.81 and 3,248,868.94 is: 6,746,738.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,564,481.81 : 3,248,868.94 = 3,248,868.94 : x
  2. Step 2: Convert to fraction form
    1,564,481.81/3,248,868.94 = 3,248,868.94/x
  3. Step 3: Cross multiply
    1,564,481.81x = 3,248,868.94 × 3,248,868.94
  4. Step 4: Simplify right side
    1,564,481.81x = 10,555,149,373,052.38
  5. Step 5: Solve for x
    x = 10,555,149,373,052.38/1,564,481.81
  6. Step 6: Final answer
    x = 6,746,738.31

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.