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Finding the Third Proportional to 2,094,656 and 3,202,904

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Solution

The third proportional to 2,094,656 and 3,202,904 is: 4,897,507.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,094,656 : 3,202,904 = 3,202,904 : x
  2. Step 2: Convert to fraction form
    2,094,656/3,202,904 = 3,202,904/x
  3. Step 3: Cross multiply
    2,094,656x = 3,202,904 × 3,202,904
  4. Step 4: Simplify right side
    2,094,656x = 10,258,594,033,216
  5. Step 5: Solve for x
    x = 10,258,594,033,216/2,094,656
  6. Step 6: Final answer
    x = 4,897,507.77

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.