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Finding the Third Proportional to 2,023,679 and 4,128,645

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Solution

The third proportional to 2,023,679 and 4,128,645 is: 8,423,129.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,023,679 : 4,128,645 = 4,128,645 : x
  2. Step 2: Convert to fraction form
    2,023,679/4,128,645 = 4,128,645/x
  3. Step 3: Cross multiply
    2,023,679x = 4,128,645 × 4,128,645
  4. Step 4: Simplify right side
    2,023,679x = 17,045,709,536,025
  5. Step 5: Solve for x
    x = 17,045,709,536,025/2,023,679
  6. Step 6: Final answer
    x = 8,423,129.13

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These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.