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Finding the Third Proportional to 3,212,217 and 4,729,509

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Solution

The third proportional to 3,212,217 and 4,729,509 is: 6,963,494.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,212,217 : 4,729,509 = 4,729,509 : x
  2. Step 2: Convert to fraction form
    3,212,217/4,729,509 = 4,729,509/x
  3. Step 3: Cross multiply
    3,212,217x = 4,729,509 × 4,729,509
  4. Step 4: Simplify right side
    3,212,217x = 22,368,255,381,081
  5. Step 5: Solve for x
    x = 22,368,255,381,081/3,212,217
  6. Step 6: Final answer
    x = 6,963,494.49

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.