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Finding the Third Proportional to 2,053,830 and 4,579,896

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Solution

The third proportional to 2,053,830 and 4,579,896 is: 10,212,844.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,053,830 : 4,579,896 = 4,579,896 : x
  2. Step 2: Convert to fraction form
    2,053,830/4,579,896 = 4,579,896/x
  3. Step 3: Cross multiply
    2,053,830x = 4,579,896 × 4,579,896
  4. Step 4: Simplify right side
    2,053,830x = 20,975,447,370,816
  5. Step 5: Solve for x
    x = 20,975,447,370,816/2,053,830
  6. Step 6: Final answer
    x = 10,212,844.96

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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.