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Finding the Third Proportional to 3,406,364 and 4,736,234

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Solution

The third proportional to 3,406,364 and 4,736,234 is: 6,585,295.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,406,364 : 4,736,234 = 4,736,234 : x
  2. Step 2: Convert to fraction form
    3,406,364/4,736,234 = 4,736,234/x
  3. Step 3: Cross multiply
    3,406,364x = 4,736,234 × 4,736,234
  4. Step 4: Simplify right side
    3,406,364x = 22,431,912,502,756
  5. Step 5: Solve for x
    x = 22,431,912,502,756/3,406,364
  6. Step 6: Final answer
    x = 6,585,295.20

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.