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Finding the Third Proportional to 1,021,503 and 2,219,910

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Solution

The third proportional to 1,021,503 and 2,219,910 is: 4,824,264.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,021,503 : 2,219,910 = 2,219,910 : x
  2. Step 2: Convert to fraction form
    1,021,503/2,219,910 = 2,219,910/x
  3. Step 3: Cross multiply
    1,021,503x = 2,219,910 × 2,219,910
  4. Step 4: Simplify right side
    1,021,503x = 4,928,000,408,100
  5. Step 5: Solve for x
    x = 4,928,000,408,100/1,021,503
  6. Step 6: Final answer
    x = 4,824,264.25

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.