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Finding the Third Proportional to 2,960,824 and 6,454,304

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Solution

The third proportional to 2,960,824 and 6,454,304 is: 14,069,745.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,960,824 : 6,454,304 = 6,454,304 : x
  2. Step 2: Convert to fraction form
    2,960,824/6,454,304 = 6,454,304/x
  3. Step 3: Cross multiply
    2,960,824x = 6,454,304 × 6,454,304
  4. Step 4: Simplify right side
    2,960,824x = 41,658,040,124,416
  5. Step 5: Solve for x
    x = 41,658,040,124,416/2,960,824
  6. Step 6: Final answer
    x = 14,069,745.49

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.