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Finding the Third Proportional to 2,217,210 and 4,776,002

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Solution

The third proportional to 2,217,210 and 4,776,002 is: 10,287,791.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,217,210 : 4,776,002 = 4,776,002 : x
  2. Step 2: Convert to fraction form
    2,217,210/4,776,002 = 4,776,002/x
  3. Step 3: Cross multiply
    2,217,210x = 4,776,002 × 4,776,002
  4. Step 4: Simplify right side
    2,217,210x = 22,810,195,104,004
  5. Step 5: Solve for x
    x = 22,810,195,104,004/2,217,210
  6. Step 6: Final answer
    x = 10,287,791.91

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.