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Finding the Third Proportional to 2,258,214.19 and 4,962,986.44

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Solution

The third proportional to 2,258,214.19 and 4,962,986.44 is: 10,907,395.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,258,214.19 : 4,962,986.44 = 4,962,986.44 : x
  2. Step 2: Convert to fraction form
    2,258,214.19/4,962,986.44 = 4,962,986.44/x
  3. Step 3: Cross multiply
    2,258,214.19x = 4,962,986.44 × 4,962,986.44
  4. Step 4: Simplify right side
    2,258,214.19x = 24,631,234,378,808.94
  5. Step 5: Solve for x
    x = 24,631,234,378,808.94/2,258,214.19
  6. Step 6: Final answer
    x = 10,907,395.11

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.