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Finding the Third Proportional to 2,271,920.91 and 4,863,052.69

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Solution

The third proportional to 2,271,920.91 and 4,863,052.69 is: 10,409,377.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,271,920.91 : 4,863,052.69 = 4,863,052.69 : x
  2. Step 2: Convert to fraction form
    2,271,920.91/4,863,052.69 = 4,863,052.69/x
  3. Step 3: Cross multiply
    2,271,920.91x = 4,863,052.69 × 4,863,052.69
  4. Step 4: Simplify right side
    2,271,920.91x = 23,649,281,441,400.97
  5. Step 5: Solve for x
    x = 23,649,281,441,400.97/2,271,920.91
  6. Step 6: Final answer
    x = 10,409,377.09

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.