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Finding the Third Proportional to 2,709,234 and 5,922,208

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Solution

The third proportional to 2,709,234 and 5,922,208 is: 12,945,558.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,709,234 : 5,922,208 = 5,922,208 : x
  2. Step 2: Convert to fraction form
    2,709,234/5,922,208 = 5,922,208/x
  3. Step 3: Cross multiply
    2,709,234x = 5,922,208 × 5,922,208
  4. Step 4: Simplify right side
    2,709,234x = 35,072,547,595,264
  5. Step 5: Solve for x
    x = 35,072,547,595,264/2,709,234
  6. Step 6: Final answer
    x = 12,945,558.63

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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.