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Finding the Third Proportional to 2,270,136 and 4,817,004

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Solution

The third proportional to 2,270,136 and 4,817,004 is: 10,221,205.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,270,136 : 4,817,004 = 4,817,004 : x
  2. Step 2: Convert to fraction form
    2,270,136/4,817,004 = 4,817,004/x
  3. Step 3: Cross multiply
    2,270,136x = 4,817,004 × 4,817,004
  4. Step 4: Simplify right side
    2,270,136x = 23,203,527,536,016
  5. Step 5: Solve for x
    x = 23,203,527,536,016/2,270,136
  6. Step 6: Final answer
    x = 10,221,205.93

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.