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Finding the Third Proportional to 2,023,114 and 4,334,102

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Solution

The third proportional to 2,023,114 and 4,334,102 is: 9,284,914.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,023,114 : 4,334,102 = 4,334,102 : x
  2. Step 2: Convert to fraction form
    2,023,114/4,334,102 = 4,334,102/x
  3. Step 3: Cross multiply
    2,023,114x = 4,334,102 × 4,334,102
  4. Step 4: Simplify right side
    2,023,114x = 18,784,440,146,404
  5. Step 5: Solve for x
    x = 18,784,440,146,404/2,023,114
  6. Step 6: Final answer
    x = 9,284,914.32

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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.