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Finding the Third Proportional to 4,256,864 and 6,609,136

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Solution

The third proportional to 4,256,864 and 6,609,136 is: 10,261,234.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,256,864 : 6,609,136 = 6,609,136 : x
  2. Step 2: Convert to fraction form
    4,256,864/6,609,136 = 6,609,136/x
  3. Step 3: Cross multiply
    4,256,864x = 6,609,136 × 6,609,136
  4. Step 4: Simplify right side
    4,256,864x = 43,680,678,666,496
  5. Step 5: Solve for x
    x = 43,680,678,666,496/4,256,864
  6. Step 6: Final answer
    x = 10,261,234.25

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.