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Finding the Third Proportional to 4,739,474 and 6,772,707

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Solution

The third proportional to 4,739,474 and 6,772,707 is: 9,678,196.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,739,474 : 6,772,707 = 6,772,707 : x
  2. Step 2: Convert to fraction form
    4,739,474/6,772,707 = 6,772,707/x
  3. Step 3: Cross multiply
    4,739,474x = 6,772,707 × 6,772,707
  4. Step 4: Simplify right side
    4,739,474x = 45,869,560,107,849
  5. Step 5: Solve for x
    x = 45,869,560,107,849/4,739,474
  6. Step 6: Final answer
    x = 9,678,196.38

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.