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Finding the Third Proportional to 2,368,969 and 3,376,261

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Solution

The third proportional to 2,368,969 and 3,376,261 is: 4,811,856.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,368,969 : 3,376,261 = 3,376,261 : x
  2. Step 2: Convert to fraction form
    2,368,969/3,376,261 = 3,376,261/x
  3. Step 3: Cross multiply
    2,368,969x = 3,376,261 × 3,376,261
  4. Step 4: Simplify right side
    2,368,969x = 11,399,138,340,121
  5. Step 5: Solve for x
    x = 11,399,138,340,121/2,368,969
  6. Step 6: Final answer
    x = 4,811,856.27

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.