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Finding the Third Proportional to 1,078,101.07 and 2,314,230.96

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Solution

The third proportional to 1,078,101.07 and 2,314,230.96 is: 4,967,683.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,078,101.07 : 2,314,230.96 = 2,314,230.96 : x
  2. Step 2: Convert to fraction form
    1,078,101.07/2,314,230.96 = 2,314,230.96/x
  3. Step 3: Cross multiply
    1,078,101.07x = 2,314,230.96 × 2,314,230.96
  4. Step 4: Simplify right side
    1,078,101.07x = 5,355,664,940,561.71
  5. Step 5: Solve for x
    x = 5,355,664,940,561.71/1,078,101.07
  6. Step 6: Final answer
    x = 4,967,683.54

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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.