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Finding the Third Proportional to 4,473,603 and 6,840,512

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Solution

The third proportional to 4,473,603 and 6,840,512 is: 10,459,713.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,473,603 : 6,840,512 = 6,840,512 : x
  2. Step 2: Convert to fraction form
    4,473,603/6,840,512 = 6,840,512/x
  3. Step 3: Cross multiply
    4,473,603x = 6,840,512 × 6,840,512
  4. Step 4: Simplify right side
    4,473,603x = 46,792,604,422,144
  5. Step 5: Solve for x
    x = 46,792,604,422,144/4,473,603
  6. Step 6: Final answer
    x = 10,459,713.22

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.