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Finding the Third Proportional to 2,004,825 and 2,896,627.50

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Solution

The third proportional to 2,004,825 and 2,896,627.50 is: 4,185,128.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,004,825 : 2,896,627.50 = 2,896,627.50 : x
  2. Step 2: Convert to fraction form
    2,004,825/2,896,627.50 = 2,896,627.50/x
  3. Step 3: Cross multiply
    2,004,825x = 2,896,627.50 × 2,896,627.50
  4. Step 4: Simplify right side
    2,004,825x = 8,390,450,873,756.25
  5. Step 5: Solve for x
    x = 8,390,450,873,756.25/2,004,825
  6. Step 6: Final answer
    x = 4,185,128.81

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These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.