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Finding the Third Proportional to 2,041,384 and 4,768,084

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Solution

The third proportional to 2,041,384 and 4,768,084 is: 11,136,868.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,041,384 : 4,768,084 = 4,768,084 : x
  2. Step 2: Convert to fraction form
    2,041,384/4,768,084 = 4,768,084/x
  3. Step 3: Cross multiply
    2,041,384x = 4,768,084 × 4,768,084
  4. Step 4: Simplify right side
    2,041,384x = 22,734,625,031,056
  5. Step 5: Solve for x
    x = 22,734,625,031,056/2,041,384
  6. Step 6: Final answer
    x = 11,136,868.43

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.