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Finding the Third Proportional to 1,081,854 and 2,313,794.25

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Solution

The third proportional to 1,081,854 and 2,313,794.25 is: 4,948,582.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,081,854 : 2,313,794.25 = 2,313,794.25 : x
  2. Step 2: Convert to fraction form
    1,081,854/2,313,794.25 = 2,313,794.25/x
  3. Step 3: Cross multiply
    1,081,854x = 2,313,794.25 × 2,313,794.25
  4. Step 4: Simplify right side
    1,081,854x = 5,353,643,831,333.06
  5. Step 5: Solve for x
    x = 5,353,643,831,333.06/1,081,854
  6. Step 6: Final answer
    x = 4,948,582.55

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.