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Finding the Third Proportional to 2,709,226 and 5,922,192

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Solution

The third proportional to 2,709,226 and 5,922,192 is: 12,945,526.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,709,226 : 5,922,192 = 5,922,192 : x
  2. Step 2: Convert to fraction form
    2,709,226/5,922,192 = 5,922,192/x
  3. Step 3: Cross multiply
    2,709,226x = 5,922,192 × 5,922,192
  4. Step 4: Simplify right side
    2,709,226x = 35,072,358,084,864
  5. Step 5: Solve for x
    x = 35,072,358,084,864/2,709,226
  6. Step 6: Final answer
    x = 12,945,526.91

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.