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Finding the Third Proportional to 2,753,364 and 5,905,296

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Solution

The third proportional to 2,753,364 and 5,905,296 is: 12,665,423.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,753,364 : 5,905,296 = 5,905,296 : x
  2. Step 2: Convert to fraction form
    2,753,364/5,905,296 = 5,905,296/x
  3. Step 3: Cross multiply
    2,753,364x = 5,905,296 × 5,905,296
  4. Step 4: Simplify right side
    2,753,364x = 34,872,520,847,616
  5. Step 5: Solve for x
    x = 34,872,520,847,616/2,753,364
  6. Step 6: Final answer
    x = 12,665,423.40

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.