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Finding the Third Proportional to 6,208,544 and 9,274,581

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Solution

The third proportional to 6,208,544 and 9,274,581 is: 13,854,754.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,208,544 : 9,274,581 = 9,274,581 : x
  2. Step 2: Convert to fraction form
    6,208,544/9,274,581 = 9,274,581/x
  3. Step 3: Cross multiply
    6,208,544x = 9,274,581 × 9,274,581
  4. Step 4: Simplify right side
    6,208,544x = 86,017,852,725,561
  5. Step 5: Solve for x
    x = 86,017,852,725,561/6,208,544
  6. Step 6: Final answer
    x = 13,854,754.47

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.