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Finding the Third Proportional to 2,053,762 and 4,579,750

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Solution

The third proportional to 2,053,762 and 4,579,750 is: 10,212,531.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,053,762 : 4,579,750 = 4,579,750 : x
  2. Step 2: Convert to fraction form
    2,053,762/4,579,750 = 4,579,750/x
  3. Step 3: Cross multiply
    2,053,762x = 4,579,750 × 4,579,750
  4. Step 4: Simplify right side
    2,053,762x = 20,974,110,062,500
  5. Step 5: Solve for x
    x = 20,974,110,062,500/2,053,762
  6. Step 6: Final answer
    x = 10,212,531.96

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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.