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Finding the Third Proportional to 2,065,878 and 3,019,535

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Solution

The third proportional to 2,065,878 and 3,019,535 is: 4,413,422.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,065,878 : 3,019,535 = 3,019,535 : x
  2. Step 2: Convert to fraction form
    2,065,878/3,019,535 = 3,019,535/x
  3. Step 3: Cross multiply
    2,065,878x = 3,019,535 × 3,019,535
  4. Step 4: Simplify right side
    2,065,878x = 9,117,591,616,225
  5. Step 5: Solve for x
    x = 9,117,591,616,225/2,065,878
  6. Step 6: Final answer
    x = 4,413,422.10

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.