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Finding the Third Proportional to 690,275 and 1,476,505

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Solution

The third proportional to 690,275 and 1,476,505 is: 3,158,258.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    690,275 : 1,476,505 = 1,476,505 : x
  2. Step 2: Convert to fraction form
    690,275/1,476,505 = 1,476,505/x
  3. Step 3: Cross multiply
    690,275x = 1,476,505 × 1,476,505
  4. Step 4: Simplify right side
    690,275x = 2,180,067,015,025
  5. Step 5: Solve for x
    x = 2,180,067,015,025/690,275
  6. Step 6: Final answer
    x = 3,158,258.69

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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.