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Finding the Third Proportional to 2,140,644 and 2,935,406

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Solution

The third proportional to 2,140,644 and 2,935,406 is: 4,025,241.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,140,644 : 2,935,406 = 2,935,406 : x
  2. Step 2: Convert to fraction form
    2,140,644/2,935,406 = 2,935,406/x
  3. Step 3: Cross multiply
    2,140,644x = 2,935,406 × 2,935,406
  4. Step 4: Simplify right side
    2,140,644x = 8,616,608,384,836
  5. Step 5: Solve for x
    x = 8,616,608,384,836/2,140,644
  6. Step 6: Final answer
    x = 4,025,241.18

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.