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Finding the Third Proportional to 3,475,820 and 7,269,434

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Solution

The third proportional to 3,475,820 and 7,269,434 is: 15,203,511.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,475,820 : 7,269,434 = 7,269,434 : x
  2. Step 2: Convert to fraction form
    3,475,820/7,269,434 = 7,269,434/x
  3. Step 3: Cross multiply
    3,475,820x = 7,269,434 × 7,269,434
  4. Step 4: Simplify right side
    3,475,820x = 52,844,670,680,356
  5. Step 5: Solve for x
    x = 52,844,670,680,356/3,475,820
  6. Step 6: Final answer
    x = 15,203,511.89

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.