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Finding the Third Proportional to 2,053,750 and 4,579,726

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Solution

The third proportional to 2,053,750 and 4,579,726 is: 10,212,484.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,053,750 : 4,579,726 = 4,579,726 : x
  2. Step 2: Convert to fraction form
    2,053,750/4,579,726 = 4,579,726/x
  3. Step 3: Cross multiply
    2,053,750x = 4,579,726 × 4,579,726
  4. Step 4: Simplify right side
    2,053,750x = 20,973,890,235,076
  5. Step 5: Solve for x
    x = 20,973,890,235,076/2,053,750
  6. Step 6: Final answer
    x = 10,212,484.59

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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.