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Finding the Third Proportional to 2,021,419 and 4,422,650

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Solution

The third proportional to 2,021,419 and 4,422,650 is: 9,676,288.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,021,419 : 4,422,650 = 4,422,650 : x
  2. Step 2: Convert to fraction form
    2,021,419/4,422,650 = 4,422,650/x
  3. Step 3: Cross multiply
    2,021,419x = 4,422,650 × 4,422,650
  4. Step 4: Simplify right side
    2,021,419x = 19,559,833,022,500
  5. Step 5: Solve for x
    x = 19,559,833,022,500/2,021,419
  6. Step 6: Final answer
    x = 9,676,288.30

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.