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Finding the Third Proportional to 945,939 and 2,101,830

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Solution

The third proportional to 945,939 and 2,101,830 is: 4,670,163.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    945,939 : 2,101,830 = 2,101,830 : x
  2. Step 2: Convert to fraction form
    945,939/2,101,830 = 2,101,830/x
  3. Step 3: Cross multiply
    945,939x = 2,101,830 × 2,101,830
  4. Step 4: Simplify right side
    945,939x = 4,417,689,348,900
  5. Step 5: Solve for x
    x = 4,417,689,348,900/945,939
  6. Step 6: Final answer
    x = 4,670,163.03

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.