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Finding the Third Proportional to 641,094.75 and 1,367,993.81

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Solution

The third proportional to 641,094.75 and 1,367,993.81 is: 2,919,080.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    641,094.75 : 1,367,993.81 = 1,367,993.81 : x
  2. Step 2: Convert to fraction form
    641,094.75/1,367,993.81 = 1,367,993.81/x
  3. Step 3: Cross multiply
    641,094.75x = 1,367,993.81 × 1,367,993.81
  4. Step 4: Simplify right side
    641,094.75x = 1,871,407,071,038.29
  5. Step 5: Solve for x
    x = 1,871,407,071,038.29/641,094.75
  6. Step 6: Final answer
    x = 2,919,080.32

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.