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Finding the Third Proportional to 1,043,009.16 and 2,165,955.19

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Solution

The third proportional to 1,043,009.16 and 2,165,955.19 is: 4,497,910.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,043,009.16 : 2,165,955.19 = 2,165,955.19 : x
  2. Step 2: Convert to fraction form
    1,043,009.16/2,165,955.19 = 2,165,955.19/x
  3. Step 3: Cross multiply
    1,043,009.16x = 2,165,955.19 × 2,165,955.19
  4. Step 4: Simplify right side
    1,043,009.16x = 4,691,361,874,258.16
  5. Step 5: Solve for x
    x = 4,691,361,874,258.16/1,043,009.16
  6. Step 6: Final answer
    x = 4,497,910.54

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.