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Finding the Third Proportional to 2,133,604 and 4,665,544

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Solution

The third proportional to 2,133,604 and 4,665,544 is: 10,202,127.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,133,604 : 4,665,544 = 4,665,544 : x
  2. Step 2: Convert to fraction form
    2,133,604/4,665,544 = 4,665,544/x
  3. Step 3: Cross multiply
    2,133,604x = 4,665,544 × 4,665,544
  4. Step 4: Simplify right side
    2,133,604x = 21,767,300,815,936
  5. Step 5: Solve for x
    x = 21,767,300,815,936/2,133,604
  6. Step 6: Final answer
    x = 10,202,127.86

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.