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Finding the Third Proportional to 2,050,216 and 3,258,424.50

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Solution

The third proportional to 2,050,216 and 3,258,424.50 is: 5,178,639.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,050,216 : 3,258,424.50 = 3,258,424.50 : x
  2. Step 2: Convert to fraction form
    2,050,216/3,258,424.50 = 3,258,424.50/x
  3. Step 3: Cross multiply
    2,050,216x = 3,258,424.50 × 3,258,424.50
  4. Step 4: Simplify right side
    2,050,216x = 10,617,330,222,200.25
  5. Step 5: Solve for x
    x = 10,617,330,222,200.25/2,050,216
  6. Step 6: Final answer
    x = 5,178,639.82

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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.