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Finding the Third Proportional to 2,173,098 and 4,720,167

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Solution

The third proportional to 2,173,098 and 4,720,167 is: 10,252,633.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,173,098 : 4,720,167 = 4,720,167 : x
  2. Step 2: Convert to fraction form
    2,173,098/4,720,167 = 4,720,167/x
  3. Step 3: Cross multiply
    2,173,098x = 4,720,167 × 4,720,167
  4. Step 4: Simplify right side
    2,173,098x = 22,279,976,507,889
  5. Step 5: Solve for x
    x = 22,279,976,507,889/2,173,098
  6. Step 6: Final answer
    x = 10,252,633.11

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.