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Finding the Third Proportional to 2,019,924 and 4,419,952

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Solution

The third proportional to 2,019,924 and 4,419,952 is: 9,671,638.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,019,924 : 4,419,952 = 4,419,952 : x
  2. Step 2: Convert to fraction form
    2,019,924/4,419,952 = 4,419,952/x
  3. Step 3: Cross multiply
    2,019,924x = 4,419,952 × 4,419,952
  4. Step 4: Simplify right side
    2,019,924x = 19,535,975,682,304
  5. Step 5: Solve for x
    x = 19,535,975,682,304/2,019,924
  6. Step 6: Final answer
    x = 9,671,638.97

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