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Finding the Third Proportional to 2,754,782 and 5,843,032

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Solution

The third proportional to 2,754,782 and 5,843,032 is: 12,393,366.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,754,782 : 5,843,032 = 5,843,032 : x
  2. Step 2: Convert to fraction form
    2,754,782/5,843,032 = 5,843,032/x
  3. Step 3: Cross multiply
    2,754,782x = 5,843,032 × 5,843,032
  4. Step 4: Simplify right side
    2,754,782x = 34,141,022,953,024
  5. Step 5: Solve for x
    x = 34,141,022,953,024/2,754,782
  6. Step 6: Final answer
    x = 12,393,366.50

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.