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Finding the Third Proportional to 2,019,729 and 4,425,729

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Solution

The third proportional to 2,019,729 and 4,425,729 is: 9,697,873.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,019,729 : 4,425,729 = 4,425,729 : x
  2. Step 2: Convert to fraction form
    2,019,729/4,425,729 = 4,425,729/x
  3. Step 3: Cross multiply
    2,019,729x = 4,425,729 × 4,425,729
  4. Step 4: Simplify right side
    2,019,729x = 19,587,077,181,441
  5. Step 5: Solve for x
    x = 19,587,077,181,441/2,019,729
  6. Step 6: Final answer
    x = 9,697,873.91

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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.