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Finding the Third Proportional to 2,179,416 and 4,751,205

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Solution

The third proportional to 2,179,416 and 4,751,205 is: 10,357,797.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,179,416 : 4,751,205 = 4,751,205 : x
  2. Step 2: Convert to fraction form
    2,179,416/4,751,205 = 4,751,205/x
  3. Step 3: Cross multiply
    2,179,416x = 4,751,205 × 4,751,205
  4. Step 4: Simplify right side
    2,179,416x = 22,573,948,952,025
  5. Step 5: Solve for x
    x = 22,573,948,952,025/2,179,416
  6. Step 6: Final answer
    x = 10,357,797.20

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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.