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Finding the Third Proportional to 1,928,848.50 and 4,148,019

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Solution

The third proportional to 1,928,848.50 and 4,148,019 is: 8,920,380.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,928,848.50 : 4,148,019 = 4,148,019 : x
  2. Step 2: Convert to fraction form
    1,928,848.50/4,148,019 = 4,148,019/x
  3. Step 3: Cross multiply
    1,928,848.50x = 4,148,019 × 4,148,019
  4. Step 4: Simplify right side
    1,928,848.50x = 17,206,061,624,361
  5. Step 5: Solve for x
    x = 17,206,061,624,361/1,928,848.50
  6. Step 6: Final answer
    x = 8,920,380.02

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.