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Finding the Third Proportional to 2,053,740 and 4,579,713

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Solution

The third proportional to 2,053,740 and 4,579,713 is: 10,212,476.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,053,740 : 4,579,713 = 4,579,713 : x
  2. Step 2: Convert to fraction form
    2,053,740/4,579,713 = 4,579,713/x
  3. Step 3: Cross multiply
    2,053,740x = 4,579,713 × 4,579,713
  4. Step 4: Simplify right side
    2,053,740x = 20,973,771,162,369
  5. Step 5: Solve for x
    x = 20,973,771,162,369/2,053,740
  6. Step 6: Final answer
    x = 10,212,476.34

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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.