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Finding the Third Proportional to 4,655,238 and 6,989,175

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Solution

The third proportional to 4,655,238 and 6,989,175 is: 10,493,248.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,655,238 : 6,989,175 = 6,989,175 : x
  2. Step 2: Convert to fraction form
    4,655,238/6,989,175 = 6,989,175/x
  3. Step 3: Cross multiply
    4,655,238x = 6,989,175 × 6,989,175
  4. Step 4: Simplify right side
    4,655,238x = 48,848,567,180,625
  5. Step 5: Solve for x
    x = 48,848,567,180,625/4,655,238
  6. Step 6: Final answer
    x = 10,493,248.07

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.