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Finding the Third Proportional to 2,984,933.50 and 4,734,132.50

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Solution

The third proportional to 2,984,933.50 and 4,734,132.50 is: 7,508,378.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,984,933.50 : 4,734,132.50 = 4,734,132.50 : x
  2. Step 2: Convert to fraction form
    2,984,933.50/4,734,132.50 = 4,734,132.50/x
  3. Step 3: Cross multiply
    2,984,933.50x = 4,734,132.50 × 4,734,132.50
  4. Step 4: Simplify right side
    2,984,933.50x = 22,412,010,527,556.25
  5. Step 5: Solve for x
    x = 22,412,010,527,556.25/2,984,933.50
  6. Step 6: Final answer
    x = 7,508,378.50

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.