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Finding the Third Proportional to 2,214,747 and 4,736,601

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Solution

The third proportional to 2,214,747 and 4,736,601 is: 10,130,000.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,214,747 : 4,736,601 = 4,736,601 : x
  2. Step 2: Convert to fraction form
    2,214,747/4,736,601 = 4,736,601/x
  3. Step 3: Cross multiply
    2,214,747x = 4,736,601 × 4,736,601
  4. Step 4: Simplify right side
    2,214,747x = 22,435,389,033,201
  5. Step 5: Solve for x
    x = 22,435,389,033,201/2,214,747
  6. Step 6: Final answer
    x = 10,130,000.87

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.