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Finding the Third Proportional to 2,053,800 and 4,579,830

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Solution

The third proportional to 2,053,800 and 4,579,830 is: 10,212,699.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,053,800 : 4,579,830 = 4,579,830 : x
  2. Step 2: Convert to fraction form
    2,053,800/4,579,830 = 4,579,830/x
  3. Step 3: Cross multiply
    2,053,800x = 4,579,830 × 4,579,830
  4. Step 4: Simplify right side
    2,053,800x = 20,974,842,828,900
  5. Step 5: Solve for x
    x = 20,974,842,828,900/2,053,800
  6. Step 6: Final answer
    x = 10,212,699.79

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.